221313221131200 has 336 divisors, whose sum is σ = 799942732709760. Its totient is φ = 53120483840000.

The previous prime is 221313221131147. The next prime is 221313221131279. The reversal of 221313221131200 is 2131122313122.

It is a super-2 number, since 2×221313221131200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15417390 + ... + 26082989.

Almost surely, 2^{221313221131200} is an apocalyptic number.

221313221131200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221313221131200 is an abundant number, since it is smaller than the sum of its proper divisors (578629511578560).

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

221313221131200 is a wasteful number, since it uses less digits than its factorization.

221313221131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41500516 (or 41500501 counting only the distinct ones).

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

Adding to 221313221131200 its reverse (2131122313122), we get a palindrome (223444343444322).

It can be divided in two parts, 2213132 and 21131200, that added together give a palindrome (23344332).

The spelling of 221313221131200 in words is "two hundred twenty-one trillion, three hundred thirteen billion, two hundred twenty-one million, one hundred thirty-one thousand, two hundred".