121888624 has 120 divisors (see below), whose sum is σ = 290918880. Its totient is φ = 49082880.

The previous prime is 121888607. The next prime is 121888633. The reversal of 121888624 is 426888121.

It is a super-2 number, since 2×121888624² = 29713673321226752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729789 + ... + 729955.

It is an arithmetic number, because the mean of its divisors is an integer number (2424324).

Almost surely, 2^121888624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121888624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145459440).

121888624 is an abundant number, since it is smaller than the sum of its proper divisors (169030256).

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

121888624 is a wasteful number, since it uses less digits than its factorization.

121888624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its digits is 49152, while the sum is 40.

The square root of 121888624 is about 11040.3181113589. The cubic root of 121888624 is about 495.8165945216.

The spelling of 121888624 in words is "one hundred twenty-one million, eight hundred eighty-eight thousand, six hundred twenty-four".