22210122112200 has 432 divisors, whose sum is σ = 84202124091540. Its totient is φ = 5238749260800.

The previous prime is 22210122112183. The next prime is 22210122112309. The reversal of 22210122112200 is 221122101222.

It is a happy number.

22210122112200 is a `hidden beast` number, since 2 + 221 + 0 + 1 + 221 + 1 + 220 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18647835802596 + 3562286309604 = 4318314^2 + 1887402^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6680562 + ... + 9436638.

Almost surely, 2^{22210122112200} is an apocalyptic number.

22210122112200 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 22210122112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42101062045770).

22210122112200 is an abundant number, since it is smaller than the sum of its proper divisors (61992001979340).

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

22210122112200 is a wasteful number, since it uses less digits than its factorization.

22210122112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756158 (or 2756135 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22210122112200 its reverse (221122101222), we get a palindrome (22431244213422).

It can be divided in two parts, 22210122 and 112200, that added together give a palindrome (22322322).

The spelling of 22210122112200 in words is "twenty-two trillion, two hundred ten billion, one hundred twenty-two million, one hundred twelve thousand, two hundred".