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12232130304 = 28319780849
BaseRepresentation
bin10110110010001011…
…10111111100000000
31011120110220121021010
423121011313330000
5200022411132204
65341441000520
7612060251322
oct133105677400
934513817233
1012232130304
11520779a5a9
122454623140
1311cc28b634
148407a5612
154b8d24d89
hex2d9177f00

12232130304 has 72 divisors (see below), whose sum is σ = 32720965200. Its totient is φ = 4056629248.

The previous prime is 12232130293. The next prime is 12232130357. The reversal of 12232130304 is 40303123221.

12232130304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110872 + ... + 191720.

It is an arithmetic number, because the mean of its divisors is an integer number (454457850).

Almost surely, 212232130304 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 12232130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16360482600).

12232130304 is an abundant number, since it is smaller than the sum of its proper divisors (20488834896).

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

12232130304 is an equidigital number, since it uses as much as digits as its factorization.

12232130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81065 (or 81051 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12232130304 its reverse (40303123221), we get a palindrome (52535253525).

The spelling of 12232130304 in words is "twelve billion, two hundred thirty-two million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 197 256 384 394 591 768 788 1182 1576 2364 3152 4728 6304 9456 12608 18912 25216 37824 50432 75648 80849 151296 161698 242547 323396 485094 646792 970188 1293584 1940376 2587168 3880752 5174336 7761504 10348672 15523008 15927253 20697344 31046016 31854506 47781759 62092032 63709012 95563518 127418024 191127036 254836048 382254072 509672096 764508144 1019344192 1529016288 2038688384 3058032576 4077376768 6116065152 12232130304