120416540 has 24 divisors (see below), whose sum is σ = 256079040. Its totient is φ = 47556288.

The previous prime is 120416533. The next prime is 120416557. The reversal of 120416540 is 45614021.

It is a super-3 number, since 3×120416540³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36527 + ... + 39686.

It is an arithmetic number, because the mean of its divisors is an integer number (10669960).

Almost surely, 2^120416540 is an apocalyptic number.

120416540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120416540 is an abundant number, since it is smaller than the sum of its proper divisors (135662500).

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

120416540 is a wasteful number, since it uses less digits than its factorization.

120416540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76301 (or 76299 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 120416540 is about 10973.4470427482. The cubic root of 120416540 is about 493.8124646711.

It can be divided in two parts, 12041 and 6540, that added together give a palindrome (18581).

The spelling of 120416540 in words is "one hundred twenty million, four hundred sixteen thousand, five hundred forty".