121612920 has 256 divisors, whose sum is σ = 452390400. Its totient is φ = 25712640.

The previous prime is 121612879. The next prime is 121612943. The reversal of 121612920 is 29216121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325854 + ... + 326226.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2^121612920 is an apocalyptic number.

121612920 is a gapful number since it is divisible by the number (10) 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 121612920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

121612920 is an abundant number, since it is smaller than the sum of its proper divisors (330777480).

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

121612920 is a wasteful number, since it uses less digits than its factorization.

121612920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 121612920 is about 11027.8248081841. The cubic root of 121612920 is about 495.4424775303.

The spelling of 121612920 in words is "one hundred twenty-one million, six hundred twelve thousand, nine hundred twenty".