121332556800 has 1320 divisors, whose sum is σ = 553820206016. Its totient is φ = 25560023040.

The previous prime is 121332556799. The next prime is 121332556819. The reversal of 121332556800 is 8655233121.

121332556800 is a `hidden beast` number, since 1 + 21 + 3 + 3 + 2 + 556 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 188697279 + ... + 188697921.

Almost surely, 2^121332556800 is an apocalyptic number.

121332556800 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 121332556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276910103008).

121332556800 is an abundant number, since it is smaller than the sum of its proper divisors (432487649216).

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

121332556800 is a wasteful number, since it uses less digits than its factorization.

121332556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 121332556800 its reverse (8655233121), we get a palindrome (129987789921).

The spelling of 121332556800 in words is "one hundred twenty-one billion, three hundred thirty-two million, five hundred fifty-six thousand, eight hundred".