12222747577200 has 240 divisors, whose sum is σ = 41759296921440. Its totient is φ = 3045277532160.

The previous prime is 12222747577199. The next prime is 12222747577213. The reversal of 12222747577200 is 277574722221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12222747577200.

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, 608106 + ... + 4981494.

It is an arithmetic number, because the mean of its divisors is an integer number (173997070506).

Almost surely, 2^{12222747577200} is an apocalyptic number.

12222747577200 is a gapful number since it is divisible by the number (10) 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 12222747577200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20879648460720).

12222747577200 is an abundant number, since it is smaller than the sum of its proper divisors (29536549344240).

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

12222747577200 is a wasteful number, since it uses less digits than its factorization.

12222747577200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4373564 (or 4373553 counting only the distinct ones).

The product of its (nonzero) digits is 1536640, while the sum is 48.

The spelling of 12222747577200 in words is "twelve trillion, two hundred twenty-two billion, seven hundred forty-seven million, five hundred seventy-seven thousand, two hundred".