22212000021120 has 1536 divisors, whose sum is σ = 90418323340800. Its totient is φ = 4596185825280.

The previous prime is 22212000020963. The next prime is 22212000021151. The reversal of 22212000021120 is 2112000021222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22212000021120.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19885406802 + ... + 19885407918.

It is an arithmetic number, because the mean of its divisors is an integer number (58866095925).

Almost surely, 2^{22212000021120} is an apocalyptic number.

22212000021120 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 22212000021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45209161670400).

22212000021120 is an abundant number, since it is smaller than the sum of its proper divisors (68206323319680).

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

22212000021120 is a wasteful number, since it uses less digits than its factorization.

22212000021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22212000021120 its reverse (2112000021222), we get a palindrome (24324000042342).

The spelling of 22212000021120 in words is "twenty-two trillion, two hundred twelve billion, twenty-one thousand, one hundred twenty".