123537520400 has 240 divisors, whose sum is σ = 344760672000. Its totient is φ = 41664430080.

The previous prime is 123537520367. The next prime is 123537520429. The reversal of 123537520400 is 4025735321.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122435096 + ... + 122436104.

It is an arithmetic number, because the mean of its divisors is an integer number (1436502800).

Almost surely, 2^123537520400 is an apocalyptic number.

123537520400 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 123537520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172380336000).

123537520400 is an abundant number, since it is smaller than the sum of its proper divisors (221223151600).

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

123537520400 is a wasteful number, since it uses less digits than its factorization.

123537520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The spelling of 123537520400 in words is "one hundred twenty-three billion, five hundred thirty-seven million, five hundred twenty thousand, four hundred".