2221302313200 has 720 divisors, whose sum is σ = 7553640821760. Its totient is φ = 557690265600.

The previous prime is 2221302313187. The next prime is 2221302313229. The reversal of 2221302313200 is 23132031222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8446016269 + ... + 8446016531.

It is an arithmetic number, because the mean of its divisors is an integer number (10491167808).

Almost surely, 2^{2221302313200} is an apocalyptic number.

2221302313200 is a gapful number since it is divisible by the number (20) 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 2221302313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776820410880).

2221302313200 is an abundant number, since it is smaller than the sum of its proper divisors (5332338508560).

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

2221302313200 is a wasteful number, since it uses less digits than its factorization.

2221302313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2221302313200 its reverse (23132031222), we get a palindrome (2244434344422).

The spelling of 2221302313200 in words is "two trillion, two hundred twenty-one billion, three hundred two million, three hundred thirteen thousand, two hundred".