121600972800 has 1296 divisors, whose sum is σ = 497976799320. Its totient is φ = 28240773120.

The previous prime is 121600972769. The next prime is 121600972813. The reversal of 121600972800 is 8279006121.

121600972800 is a `hidden beast` number, since 1 + 21 + 600 + 9 + 7 + 28 + 0 + 0 = 666.

121600972800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2827929579 + ... + 2827929621.

Almost surely, 2^121600972800 is an apocalyptic number.

121600972800 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 121600972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248988399660).

121600972800 is an abundant number, since it is smaller than the sum of its proper divisors (376375826520).

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

121600972800 is a wasteful number, since it uses less digits than its factorization.

121600972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 121600972800 its reverse (8279006121), we get a palindrome (129879978921).

The spelling of 121600972800 in words is "one hundred twenty-one billion, six hundred million, nine hundred seventy-two thousand, eight hundred".