123241215398400 has 2400 divisors, whose sum is σ = 511732587643200. Its totient is φ = 29033496576000.

The previous prime is 123241215398369. The next prime is 123241215398419. The reversal of 123241215398400 is 4893512142321.

123241215398400 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 4 + 1 + 2 + 153 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 209950962907 + ... + 209950963493.

It is an arithmetic number, because the mean of its divisors is an integer number (213221911518).

Almost surely, 2^{123241215398400} is an apocalyptic number.

123241215398400 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 123241215398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255866293821600).

123241215398400 is an abundant number, since it is smaller than the sum of its proper divisors (388491372244800).

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

123241215398400 is a wasteful number, since it uses less digits than its factorization.

123241215398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 123241215398400 in words is "one hundred twenty-three trillion, two hundred forty-one billion, two hundred fifteen million, three hundred ninety-eight thousand, four hundred".