123330131311200 has 576 divisors, whose sum is σ = 448827719687424. Its totient is φ = 29155184640000.

The previous prime is 123330131311199. The next prime is 123330131311223. The reversal of 123330131311200 is 2113131033321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2384501340 + ... + 2384553060.

It is an arithmetic number, because the mean of its divisors is an integer number (779214791124).

Almost surely, 2^{123330131311200} is an apocalyptic number.

123330131311200 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 123330131311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224413859843712).

123330131311200 is an abundant number, since it is smaller than the sum of its proper divisors (325497588376224).

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

123330131311200 is a wasteful number, since it uses less digits than its factorization.

123330131311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53999 (or 53986 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 123330131311200 its reverse (2113131033321), we get a palindrome (125443262344521).

The spelling of 123330131311200 in words is "one hundred twenty-three trillion, three hundred thirty billion, one hundred thirty-one million, three hundred eleven thousand, two hundred".