121164120 has 512 divisors, whose sum is σ = 530841600. Its totient is φ = 23846400.

The previous prime is 121164091. The next prime is 121164179. The reversal of 121164120 is 21461121.

121164120 is a `hidden beast` number, since 1 + 2 + 1 + 1 + 641 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121164093 and 121164102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2577937 + ... + 2577983.

It is an arithmetic number, because the mean of its divisors is an integer number (1036800).

Almost surely, 2^121164120 is an apocalyptic number.

121164120 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 121164120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265420800).

121164120 is an abundant number, since it is smaller than the sum of its proper divisors (409677480).

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

121164120 is a wasteful number, since it uses less digits than its factorization.

121164120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 121164120 is about 11007.4574720959. The cubic root of 121164120 is about 494.8322664012.

The spelling of 121164120 in words is "one hundred twenty-one million, one hundred sixty-four thousand, one hundred twenty".