120416091 has 32 divisors (see below), whose sum is σ = 176870400. Its totient is φ = 72576000.

The previous prime is 120416081. The next prime is 120416099. The reversal of 120416091 is 190614021.

It is not a de Polignac number, because 120416091 - 2¹³ = 120407899 is a prime.

It is a super-4 number, since 4×120416091⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (120416099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159966 + ... + 160716.

It is an arithmetic number, because the mean of its divisors is an integer number (5527200).

Almost surely, 2^120416091 is an apocalyptic number.

120416091 is a deficient number, since it is larger than the sum of its proper divisors (56454309).

120416091 is a wasteful number, since it uses less digits than its factorization.

120416091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 120416091 is about 10973.4265842534. The cubic root of 120416091 is about 493.8118509069.

The spelling of 120416091 in words is "one hundred twenty million, four hundred sixteen thousand, ninety-one".