22513343301200 has 240 divisors, whose sum is σ = 56238917406000. Its totient is φ = 8650501816320.

The previous prime is 22513343301193. The next prime is 22513343301259. The reversal of 22513343301200 is 210334331522.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 64813013056 + 22448530288144 = 254584^2 + 4737988^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 5389833512 + ... + 5389837688.

It is an arithmetic number, because the mean of its divisors is an integer number (234328822525).

Almost surely, 2^{22513343301200} is an apocalyptic number.

22513343301200 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 22513343301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28119458703000).

22513343301200 is an abundant number, since it is smaller than the sum of its proper divisors (33725574104800).

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

22513343301200 is a wasteful number, since it uses less digits than its factorization.

22513343301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6482 (or 6471 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 22513343301200 its reverse (210334331522), we get a palindrome (22723677632722).

The spelling of 22513343301200 in words is "twenty-two trillion, five hundred thirteen billion, three hundred forty-three million, three hundred one thousand, two hundred".