221000313120 has 48 divisors (see below), whose sum is σ = 696150987840. Its totient is φ = 58933416704.

The previous prime is 221000313103. The next prime is 221000313143. The reversal of 221000313120 is 21313000122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×221000313120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221000313120.

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, 230208180 + ... + 230209139.

It is an arithmetic number, because the mean of its divisors is an integer number (14503145580).

Almost surely, 2^221000313120 is an apocalyptic number.

221000313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000313120 is an abundant number, since it is smaller than the sum of its proper divisors (475150674720).

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

221000313120 is a wasteful number, since it uses less digits than its factorization.

221000313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460417337 (or 460417329 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 221000313120 its reverse (21313000122), we get a palindrome (242313313242).

The spelling of 221000313120 in words is "two hundred twenty-one billion, three hundred thirteen thousand, one hundred twenty".