120824208 has 60 divisors (see below), whose sum is σ = 349812060. Its totient is φ = 38884608.

The previous prime is 120824189. The next prime is 120824227. The reversal of 120824208 is 802428021.

It is an interprime number because it is at equal distance from previous prime (120824189) and next prime (120824227).

It can be written as a sum of positive squares in 2 ways, for example, as 63489024 + 57335184 = 7968^2 + 7572^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10291 + ... + 18642.

It is an arithmetic number, because the mean of its divisors is an integer number (5830201).

Almost surely, 2^120824208 is an apocalyptic number.

120824208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120824208 is an abundant number, since it is smaller than the sum of its proper divisors (228987852).

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

120824208 is a wasteful number, since it uses less digits than its factorization.

120824208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28976 (or 28967 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 120824208 is about 10992.0065502164. The cubic root of 120824208 is about 494.3691013461.

It can be divided in two parts, 12082 and 4208, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 120824208 in words is "one hundred twenty million, eight hundred twenty-four thousand, two hundred eight".