121363164720 has 180 divisors, whose sum is σ = 474121440000. Its totient is φ = 27740143872.

The previous prime is 121363164701. The next prime is 121363164827. The reversal of 121363164720 is 27461363121.

121363164720 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 6 + 3 + 1 + 647 + 2 + 0 = 666.

121363164720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 1684720 + ... + 1755279.

It is an arithmetic number, because the mean of its divisors is an integer number (2634008000).

Almost surely, 2^121363164720 is an apocalyptic number.

121363164720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121363164720 is an abundant number, since it is smaller than the sum of its proper divisors (352758275280).

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

121363164720 is a wasteful number, since it uses less digits than its factorization.

121363164720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440032 (or 3440016 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 121363164720 in words is "one hundred twenty-one billion, three hundred sixty-three million, one hundred sixty-four thousand, seven hundred twenty".