123310212102000 has 720 divisors, whose sum is σ = 541021414454976. Its totient is φ = 25622898048000.

The previous prime is 123310212101983. The next prime is 123310212102031. The reversal of 123310212102000 is 201212013321.

123310212102000 is a `hidden beast` number, since 1 + 233 + 1 + 0 + 21 + 210 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11201982 + ... + 19290018.

Almost surely, 2^{123310212102000} is an apocalyptic number.

123310212102000 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 123310212102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270510707227488).

123310212102000 is an abundant number, since it is smaller than the sum of its proper divisors (417711202352976).

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

123310212102000 is a wasteful number, since it uses less digits than its factorization.

123310212102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8088095 (or 8088065 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123310212102000 its reverse (201212013321), we get a palindrome (123511424115321).

The spelling of 123310212102000 in words is "one hundred twenty-three trillion, three hundred ten billion, two hundred twelve million, one hundred two thousand".