123131120000220 has 96 divisors (see below), whose sum is σ = 383122715754240. Its totient is φ = 32830840745280.

The previous prime is 123131120000209. The next prime is 123131120000233. The reversal of 123131120000220 is 22000021131321.

123131120000220 is a `hidden beast` number, since 1 + 231 + 3 + 11 + 200 + 0 + 0 + 220 = 666.

It is a super-2 number, since 2×123131120000220² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 123131120000193 and 123131120000202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10017486 + ... + 18617525.

It is an arithmetic number, because the mean of its divisors is an integer number (3990861622440).

Almost surely, 2^{123131120000220} is an apocalyptic number.

123131120000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123131120000220 is an abundant number, since it is smaller than the sum of its proper divisors (259991595754020).

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

123131120000220 is a wasteful number, since it uses less digits than its factorization.

123131120000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28642992 (or 28642984 counting only the distinct ones).

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

Adding to 123131120000220 its reverse (22000021131321), we get a palindrome (145131141131541).

The spelling of 123131120000220 in words is "one hundred twenty-three trillion, one hundred thirty-one billion, one hundred twenty million, two hundred twenty", and thus it is an aban number.