121766120 has 64 divisors (see below), whose sum is σ = 314150400. Its totient is φ = 41610240.

The previous prime is 121766101. The next prime is 121766159. The reversal of 121766120 is 21667121.

It is a self number, because there is not a number n which added to its sum of digits gives 121766120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120176 + ... + 121184.

It is an arithmetic number, because the mean of its divisors is an integer number (4908600).

Almost surely, 2^121766120 is an apocalyptic number.

121766120 is a gapful number since it is divisible by the number (10) 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 121766120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157075200).

121766120 is an abundant number, since it is smaller than the sum of its proper divisors (192384280).

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

121766120 is a wasteful number, since it uses less digits than its factorization.

121766120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 121766120 is about 11034.7686881058. The cubic root of 121766120 is about 495.6504322384.

The spelling of 121766120 in words is "one hundred twenty-one million, seven hundred sixty-six thousand, one hundred twenty".