121952952 has 112 divisors (see below), whose sum is σ = 374199480. Its totient is φ = 36936000.

The previous prime is 121952933. The next prime is 121952953. The reversal of 121952952 is 259259121.

It is a happy number.

121952952 is a `hidden beast` number, since 121 + 9 + 529 + 5 + 2 = 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 (121952953) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 63202 + ... + 65102.

Almost surely, 2^121952952 is an apocalyptic number.

121952952 is a gapful number since it is divisible by the number (12) 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 121952952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187099740).

121952952 is an abundant number, since it is smaller than the sum of its proper divisors (252246528).

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

121952952 is a wasteful number, since it uses less digits than its factorization.

121952952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1917 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 121952952 is about 11043.2310489277. The cubic root of 121952952 is about 495.9038033180.

The spelling of 121952952 in words is "one hundred twenty-one million, nine hundred fifty-two thousand, nine hundred fifty-two".