120024420021 has 48 divisors (see below), whose sum is σ = 191873784960. Its totient is φ = 71691840000.

The previous prime is 120024419969. The next prime is 120024420049.

120024420021 is a `hidden beast` number, since 1 + 200 + 2 + 442 + 0 + 0 + 21 = 666.

120024420021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120024420021 - 2¹¹ = 120024417973 is a prime.

It is a super-2 number, since 2×120024420021² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120024419976 and 120024420003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120024420521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2718321 + ... + 2762121.

It is an arithmetic number, because the mean of its divisors is an integer number (3997370520).

Almost surely, 2^120024420021 is an apocalyptic number.

120024420021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120024420021 is a deficient number, since it is larger than the sum of its proper divisors (71849364939).

120024420021 is a wasteful number, since it uses less digits than its factorization.

120024420021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44218 (or 44215 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 120024 and 420021, that added together give a palindrome (540045).

The spelling of 120024420021 in words is "one hundred twenty billion, twenty-four million, four hundred twenty thousand, twenty-one".