120166416 has 120 divisors (see below), whose sum is σ = 360365824. Its totient is φ = 38724480.

The previous prime is 120166411. The next prime is 120166439. The reversal of 120166416 is 614661021.

120166416 is a `hidden beast` number, since 1 + 2 + 0 + 16 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 120166416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120166411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120030 + ... + 121026.

Almost surely, 2^120166416 is an apocalyptic number.

120166416 is a gapful number since it is divisible by the number (16) 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 120166416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180182912).

120166416 is an abundant number, since it is smaller than the sum of its proper divisors (240199408).

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

120166416 is an equidigital number, since it uses as much as digits as its factorization.

120166416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 120166416 is about 10962.0443348857. The cubic root of 120166416 is about 493.4703190730.

The spelling of 120166416 in words is "one hundred twenty million, one hundred sixty-six thousand, four hundred sixteen".