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12032412032 = 27715572377
BaseRepresentation
bin10110011010011000…
…00000100110000000
31011001120002212022002
423031030000212000
5144120244141112
65305544203132
7604113546314
oct131514004600
934046085262
1012032412032
115114a8a283
1223b97694a8
131199aa2644
14822057b44
154a65241c2
hex2cd300980

12032412032 has 64 divisors (see below), whose sum is σ = 24362324640. Its totient is φ = 5918330880.

The previous prime is 12032412023. The next prime is 12032412037. The reversal of 12032412032 is 23021423021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 12032411995 and 12032412013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032412037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5060828 + ... + 5063204.

Almost surely, 212032412032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12181162320).

12032412032 is an abundant number, since it is smaller than the sum of its proper divisors (12329912608).

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

12032412032 is an equidigital number, since it uses as much as digits as its factorization.

12032412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12032412032 its reverse (23021423021), we get a palindrome (35053835053).

The spelling of 12032412032 in words is "twelve billion, thirty-two million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 557 568 1114 1136 2228 2272 2377 4456 4544 4754 8912 9088 9508 17824 19016 35648 38032 39547 71296 76064 79094 152128 158188 168767 304256 316376 337534 632752 675068 1265504 1323989 1350136 2531008 2647978 2700272 5062016 5295956 5400544 10591912 10801088 21183824 21602176 42367648 84735296 94003219 169470592 188006438 376012876 752025752 1504051504 3008103008 6016206016 12032412032