121858920 has 48 divisors (see below), whose sum is σ = 396042660. Its totient is φ = 32495616.

The previous prime is 121858903. The next prime is 121858927. The reversal of 121858920 is 29858121.

It can be written as a sum of positive squares in 2 ways, for example, as 109369764 + 12489156 = 10458^2 + 3534^2 .

It is a super-3 number, since 3×121858920³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (121858927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168889 + ... + 169608.

Almost surely, 2^121858920 is an apocalyptic number.

121858920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121858920 is an abundant number, since it is smaller than the sum of its proper divisors (274183740).

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

121858920 is a wasteful number, since it uses less digits than its factorization.

121858920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338514 (or 338507 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 121858920 is about 11038.9727782978. The cubic root of 121858920 is about 495.7763147641.

The spelling of 121858920 in words is "one hundred twenty-one million, eight hundred fifty-eight thousand, nine hundred twenty".