121666956 has 48 divisors (see below), whose sum is σ = 300115200. Its totient is φ = 38256192.

The previous prime is 121666927. The next prime is 121666957. The reversal of 121666956 is 659666121.

It is not an unprimeable number, because it can be changed into a prime (121666957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58950 + ... + 60978.

It is an arithmetic number, because the mean of its divisors is an integer number (6252400).

Almost surely, 2^121666956 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 121666956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150057600).

121666956 is an abundant number, since it is smaller than the sum of its proper divisors (178448244).

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

121666956 is a wasteful number, since it uses less digits than its factorization.

121666956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2316 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 121666956 is about 11030.2745206092. The cubic root of 121666956 is about 495.5158462852.

The spelling of 121666956 in words is "one hundred twenty-one million, six hundred sixty-six thousand, nine hundred fifty-six".