123560902400 has 324 divisors, whose sum is σ = 336040835760. Its totient is φ = 44951961600.

The previous prime is 123560902379. The next prime is 123560902469. The reversal of 123560902400 is 4209065321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76792796 + ... + 76794404.

Almost surely, 2^123560902400 is an apocalyptic number.

123560902400 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 123560902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168020417880).

123560902400 is an abundant number, since it is smaller than the sum of its proper divisors (212479933360).

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

123560902400 is a wasteful number, since it uses less digits than its factorization.

123560902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 123560902400 its reverse (4209065321), we get a palindrome (127769967721).

The spelling of 123560902400 in words is "one hundred twenty-three billion, five hundred sixty million, nine hundred two thousand, four hundred".