22200011200000 has 240 divisors, whose sum is σ = 56144400903360. Its totient is φ = 8767549440000.

The previous prime is 22200011199979. The next prime is 22200011200001. The reversal of 22200011200000 is 211000222.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 22200011200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22200011200001) 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, 126312184 + ... + 126487816.

It is an arithmetic number, because the mean of its divisors is an integer number (233935003764).

Almost surely, 2^{22200011200000} is an apocalyptic number.

22200011200000 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 22200011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28072200451680).

22200011200000 is an abundant number, since it is smaller than the sum of its proper divisors (33944389703360).

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

22200011200000 is an frugal number, since it uses more digits than its factorization.

22200011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175755 (or 175719 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22200011200000 its reverse (211000222), we get a palindrome (22200222200222).

The spelling of 22200011200000 in words is "twenty-two trillion, two hundred billion, eleven million, two hundred thousand".