123121424431000 has 64 divisors (see below), whose sum is σ = 288108297622080. Its totient is φ = 49247857900800.

The previous prime is 123121424430929. The next prime is 123121424431037. The reversal of 123121424431000 is 134424121321.

It is a happy number.

It is a super-2 number, since 2×123121424431000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123121424431000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71249212 + ... + 72956788.

It is an arithmetic number, because the mean of its divisors is an integer number (4501692150345).

Almost surely, 2^{123121424431000} is an apocalyptic number.

123121424431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123121424431000 is an abundant number, since it is smaller than the sum of its proper divisors (164986873191080).

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

123121424431000 is a wasteful number, since it uses less digits than its factorization.

123121424431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779701 (or 1779687 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 123121424431000 its reverse (134424121321), we get a palindrome (123255848552321).

The spelling of 123121424431000 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, four hundred twenty-four million, four hundred thirty-one thousand".