220340013120 has 84 divisors (see below), whose sum is σ = 757877846700. Its totient is φ = 58757336064.

The previous prime is 220340013017. The next prime is 220340013121. The reversal of 220340013120 is 21310043022.

It can be written as a sum of positive squares in 2 ways, for example, as 40720011264 + 179620001856 = 201792^2 + 423816^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220340013093 and 220340013102.

It is not an unprimeable number, because it can be changed into a prime (220340013121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38250595 + ... + 38256354.

Almost surely, 2^220340013120 is an apocalyptic number.

220340013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220340013120 is an abundant number, since it is smaller than the sum of its proper divisors (537537833580).

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

220340013120 is a wasteful number, since it uses less digits than its factorization.

220340013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76506972 (or 76506959 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220340013120 its reverse (21310043022), we get a palindrome (241650056142).

The spelling of 220340013120 in words is "two hundred twenty billion, three hundred forty million, thirteen thousand, one hundred twenty".