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120210020112 = 24371359466451
BaseRepresentation
bin110111111110100010…
…0110101011100010000
3102111021122100201221010
41233331010311130100
53432142231120422
6131120153530520
711453626211640
oct1577504653420
9374248321833
10120210020112
1146a87471366
121b36a113a40
13b44986c420
145b651b6520
1531d863db0c
hex1bfd135710

120210020112 has 160 divisors (see below), whose sum is σ = 388685122560. Its totient is φ = 31166323200.

The previous prime is 120210020093. The next prime is 120210020113. The reversal of 120210020112 is 211020012021.

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

It is not an unprimeable number, because it can be changed into a prime (120210020113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24487 + ... + 490937.

It is an arithmetic number, because the mean of its divisors is an integer number (2429282016).

Almost surely, 2120210020112 is an apocalyptic number.

120210020112 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 120210020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194342561280).

120210020112 is an abundant number, since it is smaller than the sum of its proper divisors (268475102448).

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

120210020112 is a wasteful number, since it uses less digits than its factorization.

120210020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466541 (or 466535 counting only the distinct ones).

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

Adding to 120210020112 its reverse (211020012021), we get a palindrome (331230032133).

The spelling of 120210020112 in words is "one hundred twenty billion, two hundred ten million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 59 78 84 91 104 112 118 156 168 177 182 208 236 273 312 336 354 364 413 472 546 624 708 728 767 826 944 1092 1239 1416 1456 1534 1652 2184 2301 2478 2832 3068 3304 4368 4602 4956 5369 6136 6608 9204 9912 10738 12272 16107 18408 19824 21476 32214 36816 42952 64428 85904 128856 257712 466451 932902 1399353 1865804 2798706 3265157 3731608 5597412 6063863 6530314 7463216 9795471 11194824 12127726 13060628 18191589 19590942 22389648 24255452 26121256 27520609 36383178 39181884 42447041 48510904 52242512 55041218 72766356 78363768 82561827 84894082 97021808 110082436 127341123 145532712 156727536 165123654 169788164 192644263 220164872 254682246 291065424 330247308 339576328 357767917 385288526 440329744 509364492 577932789 660494616 679152656 715535834 770577052 1018728984 1073303751 1155865578 1320989232 1431071668 1541154104 2037457968 2146607502 2311731156 2504375419 2862143336 3082308208 4293215004 4623462312 5008750838 5724286672 7513126257 8586430008 9246924624 10017501676 15026252514 17172860016 20035003352 30052505028 40070006704 60105010056 120210020112