121583952 has 60 divisors (see below), whose sum is σ = 388878880. Its totient is φ = 34737984.

The previous prime is 121583951. The next prime is 121583977. The reversal of 121583952 is 259385121.

121583952 is a `hidden beast` number, since 1 + 21 + 583 + 9 + 52 = 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 (121583951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59302 + ... + 61317.

Almost surely, 2^121583952 is an apocalyptic number.

121583952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121583952 is an abundant number, since it is smaller than the sum of its proper divisors (267294928).

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

121583952 is a wasteful number, since it uses less digits than its factorization.

121583952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120640 (or 120631 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 121583952 is about 11026.5113249840. The cubic root of 121583952 is about 495.4031365421.

It can be divided in two parts, 12158 and 3952, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 121583952 in words is "one hundred twenty-one million, five hundred eighty-three thousand, nine hundred fifty-two".