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120012111013032 = 233272319631064263
BaseRepresentation
bin11011010010011001111111…
…001111101110010010101000
3120201221001020100210020112200
4123102121333033232102220
5111212234300404404112
61103124445213540200
734164405663122100
oct3322317717562250
9521831210706480
10120012111013032
113526a939a59597
12115631991a4660
1351c712a58c984
14218c88d708200
15dd1bcca03cdc
hex6d267f3ee4a8

120012111013032 has 144 divisors (see below), whose sum is σ = 378111564923040. Its totient is φ = 34288069580352.

The previous prime is 120012111012943. The next prime is 120012111013033. The reversal of 120012111013032 is 230310111210021.

It is a super-2 number, since 2×1200121110130322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120012111012996 and 120012111013014.

It is not an unprimeable number, because it can be changed into a prime (120012111013033) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112233333 + ... + 113297595.

It is an arithmetic number, because the mean of its divisors is an integer number (2625774756410).

Almost surely, 2120012111013032 is an apocalyptic number.

120012111013032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120012111013032 is an abundant number, since it is smaller than the sum of its proper divisors (258099453910008).

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

120012111013032 is a wasteful number, since it uses less digits than its factorization.

120012111013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096252 (or 1096238 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120012111013032 its reverse (230310111210021), we get a palindrome (350322222223053).

The spelling of 120012111013032 in words is "one hundred twenty trillion, twelve billion, one hundred eleven million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 31963 63926 95889 127852 191778 223741 255704 287667 383556 447482 575334 671223 767112 894964 1064263 1150668 1342446 1566187 1789928 2013669 2128526 2301336 2684892 3132374 3192789 4027338 4257052 4698561 5369784 6264748 6385578 7449841 8054676 8514104 9397122 9578367 12529496 12771156 14095683 14899682 16109352 18794244 19156734 22349523 25542312 28191366 29799364 37588488 38313468 44699046 52148887 56382732 59598728 67048569 76626936 89398092 104297774 112765464 134097138 156446661 178796184 208595548 268194276 312893322 417191096 469339983 536388552 625786644 938679966 1251573288 1877359932 3754719864 34017038269 68034076538 102051114807 136068153076 204102229614 238119267883 272136306152 306153344421 408204459228 476238535766 612306688842 714357803649 816408918456 952477071532 1224613377684 1428715607298 1666834875181 1904954143064 2143073410947 2449226755368 2857431214596 3333669750362 4286146821894 5000504625543 5714862429192 6667339500724 8572293643788 10001009251086 13334679001448 15001513876629 17144587287576 20002018502172 30003027753258 40004037004344 60006055506516 120012111013032