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12040525332 = 223211171788551
BaseRepresentation
bin10110011011010101…
…11101011000010100
31011002010101001122200
423031222331120110
5144124333302312
65310434124500
7604242530253
oct131552753024
934063331580
1012040525332
115119620990
122400420730
13119b683504
1482316a79a
154a70c80dc
hex2cdabd614

12040525332 has 72 divisors (see below), whose sum is σ = 35155778112. Its totient is φ = 3434016000.

The previous prime is 12040525303. The next prime is 12040525337. The reversal of 12040525332 is 23352504021.

It is a happy number.

12040525332 is a `hidden beast` number, since 1 + 2 + 0 + 405 + 253 + 3 + 2 = 666.

It is a super-3 number, since 3×120405253323 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12040525296 and 12040525305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12040525337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 887544 + ... + 901007.

It is an arithmetic number, because the mean of its divisors is an integer number (488274696).

Almost surely, 212040525332 is an apocalyptic number.

12040525332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12040525332 is an abundant number, since it is smaller than the sum of its proper divisors (23115252780).

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

12040525332 is a wasteful number, since it uses less digits than its factorization.

12040525332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788589 (or 1788584 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 12040525332 in words is "twelve billion, forty million, five hundred twenty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 1788551 3577102 5365653 7154204 10731306 16096959 19674061 21462612 30405367 32193918 39348122 59022183 60810734 64387836 78696244 91216101 118044366 121621468 177066549 182432202 236088732 273648303 334459037 354133098 364864404 547296606 668918074 708266196 1003377111 1094593212 1337836148 2006754222 3010131333 4013508444 6020262666 12040525332