121283920 has 20 divisors (see below), whose sum is σ = 281985300. Its totient is φ = 48513536.

The previous prime is 121283909. The next prime is 121283957. The reversal of 121283920 is 29382121.

It can be written as a sum of positive squares in 2 ways, for example, as 62853184 + 58430736 = 7928^2 + 7644^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 757945 + ... + 758104.

It is an arithmetic number, because the mean of its divisors is an integer number (14099265).

Almost surely, 2^121283920 is an apocalyptic number.

121283920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121283920 is an abundant number, since it is smaller than the sum of its proper divisors (160701380).

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

121283920 is a wasteful number, since it uses less digits than its factorization.

121283920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516062 (or 1516056 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 121283920 is about 11012.8978929254. The cubic root of 121283920 is about 494.9952997547.

The spelling of 121283920 in words is "one hundred twenty-one million, two hundred eighty-three thousand, nine hundred twenty".