120032801 has 24 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 95824512.

The previous prime is 120032797. The next prime is 120032807. The reversal of 120032801 is 108230021.

It is not a de Polignac number, because 120032801 - 2² = 120032797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 120032801.

It is not an unprimeable number, because it can be changed into a prime (120032807) 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 23 ways as a sum of consecutive naturals, for example, 85100 + ... + 86498.

It is an arithmetic number, because the mean of its divisors is an integer number (6224400).

Almost surely, 2^120032801 is an apocalyptic number.

It is an amenable number.

120032801 is a deficient number, since it is larger than the sum of its proper divisors (29352799).

120032801 is a wasteful number, since it uses less digits than its factorization.

120032801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 120032801 is about 10955.9482017761. The cubic root of 120032801 is about 493.2873520065.

Adding to 120032801 its reverse (108230021), we get a palindrome (228262822).

The spelling of 120032801 in words is "one hundred twenty million, thirty-two thousand, eight hundred one".