Search a number
-
+
120210000020112 = 24347719129757139
BaseRepresentation
bin11011010101010010010010…
…010110011000001010010000
3120202121222000120212101011010
4123111102102112120022100
5111224010040001120422
61103355413414050520
734214612601665562
oct3325222226301220
9522558016771133
10120210000020112
1135336858163542
1211595605949a40
13520c9a64424c2
1421982a32bb332
15dd6e1098db0c
hex6d5492598290

120210000020112 has 160 divisors (see below), whose sum is σ = 317841313996800. Its totient is φ = 39132022523904.

The previous prime is 120210000020053. The next prime is 120210000020177. The reversal of 120210000020112 is 211020000012021.

120210000020112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2103788439 + ... + 2103845577.

It is an arithmetic number, because the mean of its divisors is an integer number (1986508212480).

Almost surely, 2120210000020112 is an apocalyptic number.

120210000020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120210000020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158920656998400).

120210000020112 is an abundant number, since it is smaller than the sum of its proper divisors (197631313976688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120210000020112 is a wasteful number, since it uses less digits than its factorization.

120210000020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59213 (or 59207 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120210000020112 its reverse (211020000012021), we get a palindrome (331230000032133).

The spelling of 120210000020112 in words is "one hundred twenty trillion, two hundred ten billion, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 719 752 1128 1297 1438 2157 2256 2594 2876 3891 4314 5188 5752 7782 8628 10376 11504 15564 17256 20752 31128 33793 34512 57139 60959 62256 67586 101379 114278 121918 135172 171417 182877 202758 228556 243836 270344 342834 365754 405516 457112 487672 540688 685668 731508 811032 914224 932543 975344 1371336 1463016 1622064 1865086 2685533 2742672 2797629 2926032 3730172 5371066 5595258 7460344 8056599 10742132 11190516 14920688 16113198 21484264 22381032 32226396 41082941 42968528 43829521 44762064 64452792 74109283 82165882 87659042 123248823 128905584 131488563 148218566 164331764 175318084 222327849 246497646 262977126 296437132 328663528 350636168 444655698 492995292 525954252 592874264 657327056 701272336 889311396 985990584 1051908504 1185748528 1778622792 1930898227 1971981168 2103817008 3483136301 3557245584 3861796454 5792694681 6966272602 7723592908 10449408903 11585389362 13932545204 15447185816 20898817806 23170778724 27865090408 30894371632 41797635612 46341557448 53284574477 55730180816 83595271224 92683114896 106569148954 159853723431 167190542448 213138297908 319707446862 426276595816 639414893724 852553191632 1278829787448 2504375000419 2557659574896 5008750000838 7513125001257 10017500001676 15026250002514 20035000003352 30052500005028 40070000006704 60105000010056 120210000020112