121961952 has 72 divisors (see below), whose sum is σ = 396382896. Its totient is φ = 34845696.

The previous prime is 121961941. The next prime is 121961971. The reversal of 121961952 is 259169121.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28233 + ... + 32264.

It is an arithmetic number, because the mean of its divisors is an integer number (5505318).

Almost surely, 2^121961952 is an apocalyptic number.

121961952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121961952 is an abundant number, since it is smaller than the sum of its proper divisors (274420944).

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

121961952 is a wasteful number, since it uses less digits than its factorization.

121961952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60520 (or 60509 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 121961952 is about 11043.6385308466. The cubic root of 121961952 is about 495.9160020782.

The spelling of 121961952 in words is "one hundred twenty-one million, nine hundred sixty-one thousand, nine hundred fifty-two".