102112231392000 has 2016 divisors, whose sum is σ = 405612628424640. Its totient is φ = 25530163200000.

The previous prime is 102112231391941. The next prime is 102112231392029. The reversal of 102112231392000 is 293132211201.

102112231392000 is a `hidden beast` number, since 1 + 0 + 21 + 122 + 313 + 9 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 44766430860 + ... + 44766433140.

It is an arithmetic number, because the mean of its divisors is an integer number (201196740290).

Almost surely, 2^{102112231392000} is an apocalyptic number.

102112231392000 is a gapful number since it is divisible by the number (10) 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 102112231392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202806314212320).

102112231392000 is an abundant number, since it is smaller than the sum of its proper divisors (303500397032640).

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

102112231392000 is an equidigital number, since it uses as much as digits as its factorization.

102112231392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 102112231392000 in words is "one hundred two trillion, one hundred twelve billion, two hundred thirty-one million, three hundred ninety-two thousand".