120149280 has 72 divisors (see below), whose sum is σ = 410014332. Its totient is φ = 32039424.

The previous prime is 120149243. The next prime is 120149333. The reversal of 120149280 is 82941021.

It can be written as a sum of positive squares in 2 ways, for example, as 103795344 + 16353936 = 10188^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40279 + ... + 43158.

Almost surely, 2^120149280 is an apocalyptic number.

120149280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120149280 is an abundant number, since it is smaller than the sum of its proper divisors (289865052).

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

120149280 is a wasteful number, since it uses less digits than its factorization.

120149280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83458 (or 83447 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 120149280 is about 10961.2627009848. The cubic root of 120149280 is about 493.4468613004.

The spelling of 120149280 in words is "one hundred twenty million, one hundred forty-nine thousand, two hundred eighty".