120456654021 has 96 divisors (see below), whose sum is σ = 202570647552. Its totient is φ = 68250948480.

The previous prime is 120456653983. The next prime is 120456654029.

120456654021 is a `hidden beast` number, since 1 + 20 + 4 + 566 + 54 + 0 + 21 = 666.

120456654021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120456654021 - 2⁷ = 120456653893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120456654029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34150960 + ... + 34154486.

It is an arithmetic number, because the mean of its divisors is an integer number (2110110912).

Almost surely, 2^120456654021 is an apocalyptic number.

120456654021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120456654021 is a deficient number, since it is larger than the sum of its proper divisors (82113993531).

120456654021 is a wasteful number, since it uses less digits than its factorization.

120456654021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3903 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 120456 and 654021, that added together give a palindrome (774477).

The spelling of 120456654021 in words is "one hundred twenty billion, four hundred fifty-six million, six hundred fifty-four thousand, twenty-one".