221313312200112 has 320 divisors, whose sum is σ = 652600132632576. Its totient is φ = 63973406970880.

The previous prime is 221313312200077. The next prime is 221313312200131. The reversal of 221313312200112 is 211002213313122.

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 63 ways as a sum of consecutive naturals, for example, 7460906593 + ... + 7460936255.

Almost surely, 2^{221313312200112} is an apocalyptic number.

221313312200112 is a gapful number since it is divisible by the number (22) 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 221313312200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326300066316288).

221313312200112 is an abundant number, since it is smaller than the sum of its proper divisors (431286820432464).

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

221313312200112 is a wasteful number, since it uses less digits than its factorization.

221313312200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31368 (or 31362 counting only the distinct ones).

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

Adding to 221313312200112 its reverse (211002213313122), we get a palindrome (432315525513234).

The spelling of 221313312200112 in words is "two hundred twenty-one trillion, three hundred thirteen billion, three hundred twelve million, two hundred thousand, one hundred twelve".