102012404256 has 288 divisors, whose sum is σ = 338329345536. Its totient is φ = 28553472000.

The previous prime is 102012404251. The next prime is 102012404257. The reversal of 102012404256 is 652404210201.

102012404256 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 2 + 404 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (102012404251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33324966 + ... + 33328026.

It is an arithmetic number, because the mean of its divisors is an integer number (1174754672).

Almost surely, 2^102012404256 is an apocalyptic number.

102012404256 is a gapful number since it is divisible by the number (16) 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 102012404256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169164672768).

102012404256 is an abundant number, since it is smaller than the sum of its proper divisors (236316941280).

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

102012404256 is a wasteful number, since it uses less digits than its factorization.

102012404256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 102012404256 its reverse (652404210201), we get a palindrome (754416614457).

The spelling of 102012404256 in words is "one hundred two billion, twelve million, four hundred four thousand, two hundred fifty-six".