22200212100132 has 144 divisors (see below), whose sum is σ = 62879984294400. Its totient is φ = 6544824122880.

The previous prime is 22200212100097. The next prime is 22200212100151. The reversal of 22200212100132 is 23100121200222.

22200212100132 is a `hidden beast` number, since 2 + 220 + 0 + 212 + 100 + 132 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147602344 + ... + 147752672.

It is an arithmetic number, because the mean of its divisors is an integer number (436666557600).

Almost surely, 2^{22200212100132} is an apocalyptic number.

22200212100132 is a gapful number since it is divisible by the number (22) 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 22200212100132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31439992147200).

22200212100132 is an abundant number, since it is smaller than the sum of its proper divisors (40679772194268).

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

22200212100132 is a wasteful number, since it uses less digits than its factorization.

22200212100132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160466 (or 160461 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22200212100132 its reverse (23100121200222), we get a palindrome (45300333300354).

The spelling of 22200212100132 in words is "twenty-two trillion, two hundred billion, two hundred twelve million, one hundred thousand, one hundred thirty-two".