20414222120 has 16 divisors (see below), whose sum is σ = 45931999860. Its totient is φ = 8165688832.

The previous prime is 20414222107. The next prime is 20414222173. The reversal of 20414222120 is 2122241402.

It can be written as a sum of positive squares in 2 ways, for example, as 20043197476 + 371024644 = 141574^2 + 19262^2 .

It is a super-3 number, since 3×20414222120³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20414222092 and 20414222101.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 255177737 + ... + 255177816.

Almost surely, 2^20414222120 is an apocalyptic number.

20414222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20414222120 is an abundant number, since it is smaller than the sum of its proper divisors (25517777740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20414222120 is a wasteful number, since it uses less digits than its factorization.

20414222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510355564 (or 510355560 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20414222120 its reverse (2122241402), we get a palindrome (22536463522).

The spelling of 20414222120 in words is "twenty billion, four hundred fourteen million, two hundred twenty-two thousand, one hundred twenty".