22211100322200 has 576 divisors, whose sum is σ = 78107857027200. Its totient is φ = 5650445107200.

The previous prime is 22211100322189. The next prime is 22211100322231. The reversal of 22211100322200 is 222300111222.

22211100322200 is a `hidden beast` number, since 2 + 221 + 1 + 100 + 322 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5178617656 + ... + 5178621944.

It is an arithmetic number, because the mean of its divisors is an integer number (135603918450).

Almost surely, 2^{22211100322200} is an apocalyptic number.

22211100322200 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 22211100322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39053928513600).

22211100322200 is an abundant number, since it is smaller than the sum of its proper divisors (55896756705000).

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

22211100322200 is a wasteful number, since it uses less digits than its factorization.

22211100322200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892 (or 5880 counting only the distinct ones).

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

Adding to 22211100322200 its reverse (222300111222), we get a palindrome (22433400433422).

The spelling of 22211100322200 in words is "twenty-two trillion, two hundred eleven billion, one hundred million, three hundred twenty-two thousand, two hundred".