121931568 has 120 divisors (see below), whose sum is σ = 386183616. Its totient is φ = 36936000.

The previous prime is 121931567. The next prime is 121931591. The reversal of 121931568 is 865139121.

121931568 is a `hidden beast` number, since 1 + 2 + 1 + 93 + 1 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121931561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41343 + ... + 44193.

Almost surely, 2^121931568 is an apocalyptic number.

121931568 is a gapful number since it is divisible by the number (18) 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 121931568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193091808).

121931568 is an abundant number, since it is smaller than the sum of its proper divisors (264252048).

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

121931568 is a wasteful number, since it uses less digits than its factorization.

121931568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2867 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 121931568 is about 11042.2628115799. The cubic root of 121931568 is about 495.8748166565.

The spelling of 121931568 in words is "one hundred twenty-one million, nine hundred thirty-one thousand, five hundred sixty-eight".