121563936 has 192 divisors, whose sum is σ = 389491200. Its totient is φ = 36661248.

The previous prime is 121563913. The next prime is 121563941. The reversal of 121563936 is 639365121.

121563936 is a `hidden beast` number, since 1 + 2 + 1 + 563 + 93 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 121563936.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887260 + ... + 887396.

It is an arithmetic number, because the mean of its divisors is an integer number (2028600).

Almost surely, 2^121563936 is an apocalyptic number.

121563936 is a gapful number since it is divisible by the number (16) 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 121563936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194745600).

121563936 is an abundant number, since it is smaller than the sum of its proper divisors (267927264).

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

121563936 is a wasteful number, since it uses less digits than its factorization.

121563936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 121563936 is about 11025.6036569432. The cubic root of 121563936 is about 495.3759494744.

The spelling of 121563936 in words is "one hundred twenty-one million, five hundred sixty-three thousand, nine hundred thirty-six".