22210212202200 has 288 divisors, whose sum is σ = 81375426840240. Its totient is φ = 5383944115200.

The previous prime is 22210212202193. The next prime is 22210212202219. The reversal of 22210212202200 is 220221201222.

22210212202200 is a `hidden beast` number, since 2 + 2 + 210 + 212 + 20 + 220 + 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 71 ways as a sum of consecutive naturals, for example, 437416014 + ... + 437466786.

Almost surely, 2^{22210212202200} is an apocalyptic number.

22210212202200 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 22210212202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40687713420120).

22210212202200 is an abundant number, since it is smaller than the sum of its proper divisors (59165214638040).

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

22210212202200 is a wasteful number, since it uses less digits than its factorization.

22210212202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72899 (or 72887 counting only the distinct ones).

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

Adding to 22210212202200 its reverse (220221201222), we get a palindrome (22430433403422).

The spelling of 22210212202200 in words is "twenty-two trillion, two hundred ten billion, two hundred twelve million, two hundred two thousand, two hundred".