123210020313000 has 384 divisors, whose sum is σ = 428473788556320. Its totient is φ = 31910564044800.

The previous prime is 123210020312969. The next prime is 123210020313059. The reversal of 123210020313000 is 313020012321.

123210020313000 is a `hidden beast` number, since 1 + 232 + 100 + 2 + 0 + 31 + 300 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 9154412691876 + 114055607621124 = 3025626^2 + 10679682^2 .

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

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 95 ways as a sum of consecutive naturals, for example, 185148864 + ... + 185813136.

Almost surely, 2^{123210020313000} is an apocalyptic number.

123210020313000 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 123210020313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214236894278160).

123210020313000 is an abundant number, since it is smaller than the sum of its proper divisors (305263768243320).

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

123210020313000 is a wasteful number, since it uses less digits than its factorization.

123210020313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664894 (or 664877 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123210020313000 its reverse (313020012321), we get a palindrome (123523040325321).

The spelling of 123210020313000 in words is "one hundred twenty-three trillion, two hundred ten billion, twenty million, three hundred thirteen thousand".