220013414120 has 32 divisors (see below), whose sum is σ = 496277145000. Its totient is φ = 87783683328.

The previous prime is 220013414113. The next prime is 220013414149. The reversal of 220013414120 is 21414310022.

220013414120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 208551142276 + 11462271844 = 456674^2 + 107062^2 .

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 = 220013414092 and 220013414101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6911495 + ... + 6943254.

Almost surely, 2^220013414120 is an apocalyptic number.

220013414120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220013414120 is an abundant number, since it is smaller than the sum of its proper divisors (276263730880).

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

220013414120 is a wasteful number, since it uses less digits than its factorization.

220013414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13855157 (or 13855153 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 220013414120 its reverse (21414310022), we get a palindrome (241427724142).

The spelling of 220013414120 in words is "two hundred twenty billion, thirteen million, four hundred fourteen thousand, one hundred twenty".