22200322122000 has 1920 divisors, whose sum is σ = 88772046225408. Its totient is φ = 5123575296000.

The previous prime is 22200322121987. The next prime is 22200322122067. The reversal of 22200322122000 is 22122300222.

22200322122000 is a `hidden beast` number, since 2 + 220 + 0 + 3 + 221 + 220 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99553013889 + ... + 99553014111.

Almost surely, 2^{22200322122000} is an apocalyptic number.

22200322122000 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 22200322122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44386023112704).

22200322122000 is an abundant number, since it is smaller than the sum of its proper divisors (66571724103408).

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

22200322122000 is a wasteful number, since it uses less digits than its factorization.

22200322122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22200322122000 its reverse (22122300222), we get a palindrome (22222444422222).

It can be divided in two parts, 22200322 and 122000, that added together give a palindrome (22322322).

The spelling of 22200322122000 in words is "twenty-two trillion, two hundred billion, three hundred twenty-two million, one hundred twenty-two thousand".