121452160104000 has 1344 divisors, whose sum is σ = 520417785468672. Its totient is φ = 27710926848000.

The previous prime is 121452160103969. The next prime is 121452160104043. The reversal of 121452160104000 is 401061254121.

121452160104000 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 52 + 1 + 601 + 0 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 363360954 + ... + 363695046.

It is an arithmetic number, because the mean of its divisors is an integer number (387215614188).

Almost surely, 2^{121452160104000} is an apocalyptic number.

121452160104000 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 121452160104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260208892734336).

121452160104000 is an abundant number, since it is smaller than the sum of its proper divisors (398965625364672).

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

121452160104000 is a wasteful number, since it uses less digits than its factorization.

121452160104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334163 (or 334131 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 121452160104000 in words is "one hundred twenty-one trillion, four hundred fifty-two billion, one hundred sixty million, one hundred four thousand".