220131221120 has 128 divisors (see below), whose sum is σ = 557785135440. Its totient is φ = 82786975744.

The previous prime is 220131221081. The next prime is 220131221179. The reversal of 220131221120 is 21122131022.

It can be written as a sum of positive squares in 8 ways, for example, as 38293793344 + 181837427776 = 195688^2 + 426424^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11011454 + ... + 11031426.

Almost surely, 2^220131221120 is an apocalyptic number.

220131221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220131221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278892567720).

220131221120 is an abundant number, since it is smaller than the sum of its proper divisors (337653914320).

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

220131221120 is a wasteful number, since it uses less digits than its factorization.

220131221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21022 (or 21010 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 220131221120 its reverse (21122131022), we get a palindrome (241253352142).

The spelling of 220131221120 in words is "two hundred twenty billion, one hundred thirty-one million, two hundred twenty-one thousand, one hundred twenty".