121605624 has 320 divisors, whose sum is σ = 439084800. Its totient is φ = 30606336.

The previous prime is 121605593. The next prime is 121605637. The reversal of 121605624 is 426506121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1465087 + ... + 1465169.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2^121605624 is an apocalyptic number.

121605624 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 121605624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

121605624 is an abundant number, since it is smaller than the sum of its proper divisors (317479176).

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

121605624 is a wasteful number, since it uses less digits than its factorization.

121605624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 121605624 is about 11027.4940036257. The cubic root of 121605624 is about 495.4325695354.

The spelling of 121605624 in words is "one hundred twenty-one million, six hundred five thousand, six hundred twenty-four".