123572506400 has 144 divisors (see below), whose sum is σ = 346316834304. Its totient is φ = 42177300480.

The previous prime is 123572506397. The next prime is 123572506441. The reversal of 123572506400 is 4605275321.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199324 + ... + 1298276.

It is an arithmetic number, because the mean of its divisors is an integer number (2404978016).

Almost surely, 2^123572506400 is an apocalyptic number.

123572506400 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 123572506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173158417152).

123572506400 is an abundant number, since it is smaller than the sum of its proper divisors (222744327904).

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

123572506400 is a wasteful number, since it uses less digits than its factorization.

123572506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99203 (or 99190 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The spelling of 123572506400 in words is "one hundred twenty-three billion, five hundred seventy-two million, five hundred six thousand, four hundred".