120906401 has 16 divisors (see below), whose sum is σ = 150985728. Its totient is φ = 94059600.

The previous prime is 120906389. The next prime is 120906403. The reversal of 120906401 is 104609021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 120906401 - 2⁶ = 120906337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120906403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78626 + ... + 80148.

It is an arithmetic number, because the mean of its divisors is an integer number (9436608).

Almost surely, 2^120906401 is an apocalyptic number.

120906401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120906401 is a deficient number, since it is larger than the sum of its proper divisors (30079327).

120906401 is a wasteful number, since it uses less digits than its factorization.

120906401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 120906401 is about 10995.7446769193. The cubic root of 120906401 is about 494.4811773109.

The spelling of 120906401 in words is "one hundred twenty million, nine hundred six thousand, four hundred one".