120414414021 has 32 divisors (see below), whose sum is σ = 177452660736. Its totient is φ = 72022920000.

The previous prime is 120414414013. The next prime is 120414414053.

120414414021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120414414021 - 2³ = 120414414013 is a prime.

It is a super-2 number, since 2×120414414021² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120414413982 and 120414414000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120414414011) 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 31 ways as a sum of consecutive naturals, for example, 978480 + ... + 1094646.

It is an arithmetic number, because the mean of its divisors is an integer number (5545395648).

Almost surely, 2^120414414021 is an apocalyptic number.

120414414021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120414414021 is a deficient number, since it is larger than the sum of its proper divisors (57038246715).

120414414021 is a wasteful number, since it uses less digits than its factorization.

120414414021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116593.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 120414 and 414021, that added together give a palindrome (534435).

The spelling of 120414414021 in words is "one hundred twenty billion, four hundred fourteen million, four hundred fourteen thousand, twenty-one".