121164624 has 120 divisors (see below), whose sum is σ = 393224832. Its totient is φ = 34110720.

The previous prime is 121164613. The next prime is 121164707. The reversal of 121164624 is 426461121.

121164624 is a `hidden beast` number, since 1 + 2 + 11 + 646 + 2 + 4 = 666.

It is a super-2 number, since 2×121164624² = 29361732218122752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 70722 + ... + 72414.

Almost surely, 2^121164624 is an apocalyptic number.

121164624 is a gapful number since it is divisible by the number (14) 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 121164624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196612416).

121164624 is an abundant number, since it is smaller than the sum of its proper divisors (272060208).

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

121164624 is a wasteful number, since it uses less digits than its factorization.

121164624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1776 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 121164624 is about 11007.4803656423. The cubic root of 121164624 is about 494.8329525095.

The spelling of 121164624 in words is "one hundred twenty-one million, one hundred sixty-four thousand, six hundred twenty-four".