121180621161600 has 4608 divisors, whose sum is σ = 609788371046400. Its totient is φ = 22086991872000.

The previous prime is 121180621161563. The next prime is 121180621161601. The reversal of 121180621161600 is 6161126081121.

121180621161600 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 8 + 0 + 621 + 16 + 16 + 0 + 0 = 666.

It is a super-2 number, since 2×121180621161600² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121180621161601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 118688169090 + ... + 118688170110.

It is an arithmetic number, because the mean of its divisors is an integer number (132332545800).

Almost surely, 2^{121180621161600} is an apocalyptic number.

121180621161600 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 121180621161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304894185523200).

121180621161600 is an abundant number, since it is smaller than the sum of its proper divisors (488607749884800).

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

121180621161600 is a wasteful number, since it uses less digits than its factorization.

121180621161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 121180621161600 in words is "one hundred twenty-one trillion, one hundred eighty billion, six hundred twenty-one million, one hundred sixty-one thousand, six hundred".