123986956800 has 960 divisors, whose sum is σ = 507960059904. Its totient is φ = 26011238400.

The previous prime is 123986956741. The next prime is 123986956801. The reversal of 123986956800 is 8659689321.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (123986956801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196492485 + ... + 196493115.

Almost surely, 2^123986956800 is an apocalyptic number.

123986956800 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 123986956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253980029952).

123986956800 is an abundant number, since it is smaller than the sum of its proper divisors (383973103104).

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

123986956800 is a wasteful number, since it uses less digits than its factorization.

123986956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 123986956800 in words is "one hundred twenty-three billion, nine hundred eighty-six million, nine hundred fifty-six thousand, eight hundred".