121627455120 has 200 divisors, whose sum is σ = 422627660664. Its totient is φ = 32418828288.

The previous prime is 121627455097. The next prime is 121627455143. The reversal of 121627455120 is 21554726121.

121627455120 is a `hidden beast` number, since 1 + 2 + 1 + 627 + 4 + 5 + 5 + 1 + 20 = 666.

121627455120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121627455097) and next prime (121627455143).

It can be written as a sum of positive squares in 4 ways, for example, as 17512816896 + 104114638224 = 132336^2 + 322668^2 .

It is a super-2 number, since 2×121627455120² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 23954022 + ... + 23959098.

Almost surely, 2^121627455120 is an apocalyptic number.

121627455120 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 121627455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211313830332).

121627455120 is an abundant number, since it is smaller than the sum of its proper divisors (301000205544).

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

121627455120 is a wasteful number, since it uses less digits than its factorization.

121627455120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8799 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 121627455120 in words is "one hundred twenty-one billion, six hundred twenty-seven million, four hundred fifty-five thousand, one hundred twenty".