123210112012000 has 384 divisors, whose sum is σ = 327708367878528. Its totient is φ = 45256882176000.

The previous prime is 123210112011983. The next prime is 123210112012019. The reversal of 123210112012000 is 210211012321.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 15641752062 + ... + 15641759938.

It is an arithmetic number, because the mean of its divisors is an integer number (853407208017).

Almost surely, 2^{123210112012000} is an apocalyptic number.

123210112012000 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 123210112012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163854183939264).

123210112012000 is an abundant number, since it is smaller than the sum of its proper divisors (204498255866528).

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

123210112012000 is a wasteful number, since it uses less digits than its factorization.

123210112012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9439 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 123210112012000 its reverse (210211012321), we get a palindrome (123420323024321).

The spelling of 123210112012000 in words is "one hundred twenty-three trillion, two hundred ten billion, one hundred twelve million, twelve thousand".