121959952 has 40 divisors (see below), whose sum is σ = 245912832. Its totient is φ = 58531200.

The previous prime is 121959949. The next prime is 121959973. The reversal of 121959952 is 259959121.

It is a junction number, because it is equal to n+sod(n) for n = 121959899 and 121959908.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64038 + ... + 65914.

Almost surely, 2^121959952 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 121959952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122956416).

121959952 is an abundant number, since it is smaller than the sum of its proper divisors (123952880).

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

121959952 is a wasteful number, since it uses less digits than its factorization.

121959952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2041 counting only the distinct ones).

The product of its digits is 72900, while the sum is 43.

The square root of 121959952 is about 11043.5479806084. The cubic root of 121959952 is about 495.9132912944.

The spelling of 121959952 in words is "one hundred twenty-one million, nine hundred fifty-nine thousand, nine hundred fifty-two".