120166431 has 72 divisors (see below), whose sum is σ = 214042752. Its totient is φ = 58687200.

The previous prime is 120166411. The next prime is 120166439. The reversal of 120166431 is 134661021.

It is not a de Polignac number, because 120166431 - 2⁹ = 120165919 is a prime.

It is a super-2 number, since 2×120166431² = 28879942278555522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120166439) 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, 917236 + ... + 917366.

It is an arithmetic number, because the mean of its divisors is an integer number (2972816).

Almost surely, 2^120166431 is an apocalyptic number.

120166431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120166431 is a deficient number, since it is larger than the sum of its proper divisors (93876321).

120166431 is a wasteful number, since it uses less digits than its factorization.

120166431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 120166431 is about 10962.0450190646. The cubic root of 120166431 is about 493.4703396058.

The spelling of 120166431 in words is "one hundred twenty million, one hundred sixty-six thousand, four hundred thirty-one".