123897715200 has 1080 divisors, whose sum is σ = 527889016512. Its totient is φ = 27657584640.

The previous prime is 123897715121. The next prime is 123897715223. The reversal of 123897715200 is 2517798321.

123897715200 is a `hidden beast` number, since 1 + 2 + 38 + 97 + 7 + 1 + 520 + 0 = 666.

123897715200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123897715200² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 107 ways as a sum of consecutive naturals, for example, 265305367 + ... + 265305833.

Almost surely, 2^123897715200 is an apocalyptic number.

123897715200 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 123897715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263944508256).

123897715200 is an abundant number, since it is smaller than the sum of its proper divisors (403991301312).

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

123897715200 is a wasteful number, since it uses less digits than its factorization.

123897715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 123897715200 in words is "one hundred twenty-three billion, eight hundred ninety-seven million, seven hundred fifteen thousand, two hundred".