221312613120 has 72 divisors (see below), whose sum is σ = 706817170416. Its totient is φ = 59016695808.

The previous prime is 221312613113. The next prime is 221312613169. The reversal of 221312613120 is 21316213122.

It is a super-2 number, since 2×221312613120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28812907 + ... + 28820586.

Almost surely, 2^221312613120 is an apocalyptic number.

221312613120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221312613120 is an abundant number, since it is smaller than the sum of its proper divisors (485504557296).

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

221312613120 is an equidigital number, since it uses as much as digits as its factorization.

221312613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57633517 (or 57633503 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 221312613120 its reverse (21316213122), we get a palindrome (242628826242).

The spelling of 221312613120 in words is "two hundred twenty-one billion, three hundred twelve million, six hundred thirteen thousand, one hundred twenty".