22200222122000 has 160 divisors (see below), whose sum is σ = 58458928076640. Its totient is φ = 8104903065600.

The previous prime is 22200222121999. The next prime is 22200222122053. The reversal of 22200222122000 is 22122200222.

It can be written as a sum of positive squares in 16 ways, for example, as 17494376986384 + 4705845135616 = 4182628^2 + 2169296^2 .

It is a super-2 number, since 2×22200222122000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22200222122000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2482937 + ... + 7110936.

It is an arithmetic number, because the mean of its divisors is an integer number (365368300479).

Almost surely, 2^{22200222122000} is an apocalyptic number.

22200222122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200222122000 is an abundant number, since it is smaller than the sum of its proper divisors (36258705954640).

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

22200222122000 is a wasteful number, since it uses less digits than its factorization.

22200222122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9593998 (or 9593982 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 22200222122000 its reverse (22122200222), we get a palindrome (22222344322222).

The spelling of 22200222122000 in words is "twenty-two trillion, two hundred billion, two hundred twenty-two million, one hundred twenty-two thousand".