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12390956928 = 273272317397
BaseRepresentation
bin10111000101000111…
…01111111110000000
31011222112202211102200
423202203233332000
5200334041110203
65405313113200
7616026252600
oct134243577600
934875684380
1012390956928
115289410379
122499858800
13122615ac9c
1485790ac00
154c7c499a3
hex2e28eff80

12390956928 has 576 divisors, whose sum is σ = 43849653120. Its totient is φ = 3344302080.

The previous prime is 12390956891. The next prime is 12390956939. The reversal of 12390956928 is 82965909321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127741776 + ... + 127741872.

It is an arithmetic number, because the mean of its divisors is an integer number (76127870).

Almost surely, 212390956928 is an apocalyptic number.

12390956928 is a gapful number since it is divisible by the number (18) 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 12390956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21924826560).

12390956928 is an abundant number, since it is smaller than the sum of its proper divisors (31458696192).

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

12390956928 is a wasteful number, since it uses less digits than its factorization.

12390956928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 12390956928 in words is "twelve billion, three hundred ninety million, nine hundred fifty-six thousand, nine hundred twenty-eight".