123632169400320 has 1536 divisors, whose sum is σ = 495309688473600. Its totient is φ = 25683183009792.

The previous prime is 123632169400253. The next prime is 123632169400361. The reversal of 123632169400320 is 23004961236321.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×123632169400320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 13990282942 + ... + 13990291778.

It is an arithmetic number, because the mean of its divisors is an integer number (322467245100).

Almost surely, 2^{123632169400320} is an apocalyptic number.

123632169400320 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 123632169400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247654844236800).

123632169400320 is an abundant number, since it is smaller than the sum of its proper divisors (371677519073280).

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

123632169400320 is a wasteful number, since it uses less digits than its factorization.

123632169400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9023 (or 9003 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 123632169400320 in words is "one hundred twenty-three trillion, six hundred thirty-two billion, one hundred sixty-nine million, four hundred thousand, three hundred twenty".