121132991462400 has 3696 divisors, whose sum is σ = 490791850436160. Its totient is φ = 29563630387200.

The previous prime is 121132991462363. The next prime is 121132991462401. The reversal of 121132991462400 is 4264199231121.

121132991462400 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 3 + 2 + 9 + 9 + 14 + 624 + 0 + 0 = 666.

It is a super-2 number, since 2×121132991462400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121132991462401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1176048460749 + ... + 1176048460851.

Almost surely, 2^{121132991462400} is an apocalyptic number.

121132991462400 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 121132991462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245395925218080).

121132991462400 is an abundant number, since it is smaller than the sum of its proper divisors (369658858973760).

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

121132991462400 is a wasteful number, since it uses less digits than its factorization.

121132991462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 121132991462400 in words is "one hundred twenty-one trillion, one hundred thirty-two billion, nine hundred ninety-one million, four hundred sixty-two thousand, four hundred".