123301221023300 has 72 divisors (see below), whose sum is σ = 267658631641800. Its totient is φ = 49302983296000.

The previous prime is 123301221023293. The next prime is 123301221023311. The reversal of 123301221023300 is 3320122103321.

It can be written as a sum of positive squares in 12 ways, for example, as 3759317698816 + 119541903324484 = 1938896^2 + 10933522^2 .

It is a super-2 number, since 2×123301221023300² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6388323650 + ... + 6388342950.

It is an arithmetic number, because the mean of its divisors is an integer number (3717480995025).

Almost surely, 2^{123301221023300} is an apocalyptic number.

123301221023300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123301221023300 is an abundant number, since it is smaller than the sum of its proper divisors (144357410618500).

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

123301221023300 is a wasteful number, since it uses less digits than its factorization.

123301221023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38681 (or 38674 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 123301221023300 its reverse (3320122103321), we get a palindrome (126621343126621).

The spelling of 123301221023300 in words is "one hundred twenty-three trillion, three hundred one billion, two hundred twenty-one million, twenty-three thousand, three hundred".