102312211122000 has 240 divisors, whose sum is σ = 389828127349440. Its totient is φ = 24802960224000.

The previous prime is 102312211121909. The next prime is 102312211122049. The reversal of 102312211122000 is 221112213201.

102312211122000 is a `hidden beast` number, since 1 + 0 + 231 + 2 + 211 + 1 + 220 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258166170 + ... + 258562169.

It is an arithmetic number, because the mean of its divisors is an integer number (1624283863956).

Almost surely, 2^{102312211122000} is an apocalyptic number.

102312211122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102312211122000 is an abundant number, since it is smaller than the sum of its proper divisors (287515916227440).

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

102312211122000 is a wasteful number, since it uses less digits than its factorization.

102312211122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516728379 (or 516728360 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102312211122000 its reverse (221112213201), we get a palindrome (102533323335201).

The spelling of 102312211122000 in words is "one hundred two trillion, three hundred twelve billion, two hundred eleven million, one hundred twenty-two thousand".