123133232112000 has 1024 divisors, whose sum is σ = 451631747174400. Its totient is φ = 29428224000000.

The previous prime is 123133232111983. The next prime is 123133232112071. The reversal of 123133232112000 is 211232331321.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12745387170 + ... + 12745396830.

It is an arithmetic number, because the mean of its divisors is an integer number (441046628100).

Almost surely, 2^{123133232112000} is an apocalyptic number.

123133232112000 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 123133232112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225815873587200).

123133232112000 is an abundant number, since it is smaller than the sum of its proper divisors (328498515062400).

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

123133232112000 is a wasteful number, since it uses less digits than its factorization.

123133232112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10044 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 123133232112000 its reverse (211232331321), we get a palindrome (123344464443321).

The spelling of 123133232112000 in words is "one hundred twenty-three trillion, one hundred thirty-three billion, two hundred thirty-two million, one hundred twelve thousand".