121656036505320 has 96 divisors (see below), whose sum is σ = 397079037880200. Its totient is φ = 32302375335936.

The previous prime is 121656036505319. The next prime is 121656036505321. The reversal of 121656036505320 is 23505630656121.

121656036505320 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 5 + 60 + 3 + 6 + 50 + 532 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (121656036505319) and next prime (121656036505321).

It can be written as a sum of positive squares in 4 ways, for example, as 54015708813444 + 67640327691876 = 7349538^2 + 8224374^2 .

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

It is not an unprimeable number, because it can be changed into a prime (121656036505321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725095165 + ... + 725262924.

Almost surely, 2^{121656036505320} is an apocalyptic number.

121656036505320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121656036505320 is an abundant number, since it is smaller than the sum of its proper divisors (275423001374880).

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

121656036505320 is a wasteful number, since it uses less digits than its factorization.

121656036505320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450358339 (or 1450358332 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 121656036505320 in words is "one hundred twenty-one trillion, six hundred fifty-six billion, thirty-six million, five hundred five thousand, three hundred twenty".