120400641 has 32 divisors (see below), whose sum is σ = 185821440. Its totient is φ = 76982400.

The previous prime is 120400639. The next prime is 120400649. The reversal of 120400641 is 146004021.

120400641 is a `hidden beast` number, since 1 + 20 + 4 + 0 + 0 + 641 = 666.

It is not a de Polignac number, because 120400641 - 2¹ = 120400639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120400649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66636 + ... + 68418.

It is an arithmetic number, because the mean of its divisors is an integer number (5806920).

Almost surely, 2^120400641 is an apocalyptic number.

It is an amenable number.

120400641 is a deficient number, since it is larger than the sum of its proper divisors (65420799).

120400641 is a wasteful number, since it uses less digits than its factorization.

120400641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 120400641 is about 10972.7225883096. The cubic root of 120400641 is about 493.7907304754.

Adding to 120400641 its reverse (146004021), we get a palindrome (266404662).

The spelling of 120400641 in words is "one hundred twenty million, four hundred thousand, six hundred forty-one".