120374280 has 288 divisors, whose sum is σ = 452579400. Its totient is φ = 27574272.

The previous prime is 120374279. The next prime is 120374281. The reversal of 120374280 is 82473021.

120374280 = T₁₆₀₀ + T₁₆₀₁ + ... + T₁₆₈₈.

120374280 is a `hidden beast` number, since 12 + 0 + 374 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (120374279) and next prime (120374281).

It can be written as a sum of positive squares in 12 ways, for example, as 7717284 + 112656996 = 2778^2 + 10614^2 .

It is not an unprimeable number, because it can be changed into a prime (120374281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1352476 + ... + 1352564.

Almost surely, 2^120374280 is an apocalyptic number.

120374280 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 120374280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226289700).

120374280 is an abundant number, since it is smaller than the sum of its proper divisors (332205120).

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

120374280 is a wasteful number, since it uses less digits than its factorization.

120374280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 120374280 is about 10971.5213165723. The cubic root of 120374280 is about 493.7546903363.

The spelling of 120374280 in words is "one hundred twenty million, three hundred seventy-four thousand, two hundred eighty".