22222144211200 has 216 divisors, whose sum is σ = 59036578557768. Its totient is φ = 8251378237440.

The previous prime is 22222144211161. The next prime is 22222144211203. The reversal of 22222144211200 is 211244122222.

It can be written as a sum of positive squares in 12 ways, for example, as 9751979769856 + 12470164441344 = 3122816^2 + 3531312^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (22222144211203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6543444 + ... + 9341356.

It is an arithmetic number, because the mean of its divisors is an integer number (273317493323).

Almost surely, 2^{22222144211200} is an apocalyptic number.

22222144211200 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 22222144211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29518289278884).

22222144211200 is an abundant number, since it is smaller than the sum of its proper divisors (36814434346568).

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

22222144211200 is a wasteful number, since it uses less digits than its factorization.

22222144211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798029 (or 2798010 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 22222144211200 its reverse (211244122222), we get a palindrome (22433388333422).

The spelling of 22222144211200 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred forty-four million, two hundred eleven thousand, two hundred".