221310312120 has 48 divisors (see below), whose sum is σ = 719258515560. Its totient is φ = 59016083136.

The previous prime is 221310312053. The next prime is 221310312187. The reversal of 221310312120 is 21213013122.

221310312120 is a `hidden beast` number, since 2 + 21 + 310 + 312 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (221310312053) and next prime (221310312187).

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 = 221310312093 and 221310312102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307375074 + ... + 307375793.

Almost surely, 2^221310312120 is an apocalyptic number.

221310312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221310312120 is an abundant number, since it is smaller than the sum of its proper divisors (497948203440).

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

221310312120 is a wasteful number, since it uses less digits than its factorization.

221310312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614750884 (or 614750877 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221310312120 its reverse (21213013122), we get a palindrome (242523325242).

The spelling of 221310312120 in words is "two hundred twenty-one billion, three hundred ten million, three hundred twelve thousand, one hundred twenty".