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120100010111112 = 233315412803106451
BaseRepresentation
bin11011010011101011110110…
…011100001011000010001000
3120202020110010012110002000210
4123103223312130023002020
5111220204310042023422
61103233103304401120
734203640132124133
oct3323536634130210
9522213105402023
10120100010111112
11352a41457859a9
121157822a4761a0
1352024c8069705
142192c2b5a321a
15dd41246db10c
hex6d3af670b088

120100010111112 has 128 divisors (see below), whose sum is σ = 310622098821120. Its totient is φ = 38656167840000.

The previous prime is 120100010111071. The next prime is 120100010111129. The reversal of 120100010111112 is 211111010001021.

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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128165487 + ... + 1128271937.

It is an arithmetic number, because the mean of its divisors is an integer number (2426735147040).

Almost surely, 2120100010111112 is an apocalyptic number.

120100010111112 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 120100010111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155311049410560).

120100010111112 is an abundant number, since it is smaller than the sum of its proper divisors (190522088710008).

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

120100010111112 is a wasteful number, since it uses less digits than its factorization.

120100010111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109835 (or 109831 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 120100010111112 its reverse (211111010001021), we get a palindrome (331211020112133).

The spelling of 120100010111112 in words is "one hundred twenty trillion, one hundred billion, ten million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 541 744 1082 1623 2164 2803 3246 4328 5606 6492 8409 11212 12984 16771 16818 22424 33542 33636 50313 67084 67272 86893 100626 106451 134168 173786 201252 212902 260679 319353 347572 402504 425804 521358 638706 695144 851608 1042716 1277412 1516423 2085432 2554824 3032846 3299981 4549269 6065692 6599962 9098538 9899943 12131384 13199924 18197076 19799886 26399848 36394152 39599772 47009113 57589991 79199544 94018226 115179982 141027339 172769973 188036452 230359964 282054678 298382153 345539946 376072904 460719928 564109356 596764306 691079892 895146459 1128218712 1193528612 1382159784 1785289721 1790292918 2387057224 3570579442 3580585836 5355869163 7141158884 7161171672 9249846743 10711738326 14282317768 18499693486 21423476652 27749540229 36999386972 42846953304 55499080458 73998773944 110998160916 161424744773 221996321832 322849489546 484274234319 645698979092 968548468638 1291397958184 1937096937276 3874193874552 5004167087963 10008334175926 15012501263889 20016668351852 30025002527778 40033336703704 60050005055556 120100010111112