22200221200212 has 288 divisors, whose sum is σ = 65287293926400. Its totient is φ = 6289921382400.

The previous prime is 22200221200207. The next prime is 22200221200259. The reversal of 22200221200212 is 21200212200222.

22200221200212 is a `hidden beast` number, since 2 + 220 + 0 + 221 + 200 + 21 + 2 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261965887 + ... + 262050617.

It is an arithmetic number, because the mean of its divisors is an integer number (226691992800).

Almost surely, 2^{22200221200212} is an apocalyptic number.

22200221200212 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 22200221200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643646963200).

22200221200212 is an abundant number, since it is smaller than the sum of its proper divisors (43087072726188).

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

22200221200212 is a wasteful number, since it uses less digits than its factorization.

22200221200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85227 (or 85222 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22200221200212 its reverse (21200212200222), we get a palindrome (43400433400434).

The spelling of 22200221200212 in words is "twenty-two trillion, two hundred billion, two hundred twenty-one million, two hundred thousand, two hundred twelve".