121363956 has 72 divisors (see below), whose sum is σ = 362718720. Its totient is φ = 33477696.

The previous prime is 121363951. The next prime is 121363967. The reversal of 121363956 is 659363121.

121363956 is a `hidden beast` number, since 1 + 2 + 13 + 639 + 5 + 6 = 666.

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 121363956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121363951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996 + ... + 15611.

It is an arithmetic number, because the mean of its divisors is an integer number (5037760).

Almost surely, 2^121363956 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 121363956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181359360).

121363956 is an abundant number, since it is smaller than the sum of its proper divisors (241354764).

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

121363956 is a wasteful number, since it uses less digits than its factorization.

121363956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16653 (or 16648 counting only the distinct ones).

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

The square root of 121363956 is about 11016.5310329523. The cubic root of 121363956 is about 495.1041592870.

The spelling of 121363956 in words is "one hundred twenty-one million, three hundred sixty-three thousand, nine hundred fifty-six".