121624624 has 80 divisors (see below), whose sum is σ = 278196480. Its totient is φ = 50906880.

The previous prime is 121624589. The next prime is 121624649. The reversal of 121624624 is 426426121.

It is a junction number, because it is equal to n+sod(n) for n = 121624592 and 121624601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123237 + ... + 124219.

It is an arithmetic number, because the mean of its divisors is an integer number (3477456).

Almost surely, 2^121624624 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 121624624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139098240).

121624624 is an abundant number, since it is smaller than the sum of its proper divisors (156571856).

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

121624624 is a wasteful number, since it uses less digits than its factorization.

121624624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1052 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 121624624 is about 11028.3554531036. The cubic root of 121624624 is about 495.4583707779.

It can be divided in two parts, 1216 and 24624, that multiplied together give a square (29942784 = 5472²).

The spelling of 121624624 in words is "one hundred twenty-one million, six hundred twenty-four thousand, six hundred twenty-four".