120329540 has 24 divisors (see below), whose sum is σ = 253001112. Its totient is φ = 48072960.

The previous prime is 120329479. The next prime is 120329563. The reversal of 120329540 is 45923021.

It can be written as a sum of positive squares in 4 ways, for example, as 602176 + 119727364 = 776^2 + 10942^2 .

It is a super-2 number, since 2×120329540² = 28958396393223200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 15530 + ... + 21950.

It is an arithmetic number, because the mean of its divisors is an integer number (10541713).

Almost surely, 2^120329540 is an apocalyptic number.

120329540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120329540 is an abundant number, since it is smaller than the sum of its proper divisors (132671572).

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

120329540 is a wasteful number, since it uses less digits than its factorization.

120329540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7367 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 120329540 is about 10969.4822120281. The cubic root of 120329540 is about 493.6935108156.

The spelling of 120329540 in words is "one hundred twenty million, three hundred twenty-nine thousand, five hundred forty".