22122000000 has 336 divisors, whose sum is σ = 79636675950. Its totient is φ = 5894400000.

The previous prime is 22121999969. The next prime is 22122000011. The reversal of 22122000000 is 22122.

It can be written as a sum of positive squares in 7 ways, for example, as 4767626304 + 17354373696 = 69048^2 + 131736^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 17999386 + ... + 18000614.

Almost surely, 2^22122000000 is an apocalyptic number.

22122000000 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 22122000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39818337975).

22122000000 is an abundant number, since it is smaller than the sum of its proper divisors (57514675950).

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

22122000000 is an frugal number, since it uses more digits than its factorization.

22122000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 22122000000 its reverse (22122), we get a palindrome (22122022122).

Multiplying 22122000000 by its reverse (22122), we get a square (489382884000000 = 22122000²).

22122000000 divided by its reverse (22122) gives a 6-th power (1000000 = 10⁶).

The spelling of 22122000000 in words is "twenty-two billion, one hundred twenty-two million", and thus it is an aban number.