121624832 has 72 divisors (see below), whose sum is σ = 281875776. Its totient is φ = 51296256.

The previous prime is 121624829. The next prime is 121624837. The reversal of 121624832 is 238426121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121624795 and 121624804.

It is not an unprimeable number, because it can be changed into a prime (121624837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119558 + ... + 120570.

Almost surely, 2^121624832 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 121624832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140937888).

121624832 is an abundant number, since it is smaller than the sum of its proper divisors (160250944).

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

121624832 is an equidigital number, since it uses as much as digits as its factorization.

121624832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1089 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 121624832 is about 11028.3648833361. The cubic root of 121624832 is about 495.4586532188.

The spelling of 121624832 in words is "one hundred twenty-one million, six hundred twenty-four thousand, eight hundred thirty-two".