22200220100000 has 288 divisors, whose sum is σ = 57909762131760. Its totient is φ = 8348139520000.

The previous prime is 22200220099999. The next prime is 22200220100011. The reversal of 22200220100000 is 102200222.

It can be written as a sum of positive squares in 24 ways, for example, as 22149560894224 + 50659205776 = 4706332^2 + 225076^2 .

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 47 ways as a sum of consecutive naturals, for example, 1579292972 + ... + 1579307028.

Almost surely, 2^{22200220100000} is an apocalyptic number.

22200220100000 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 22200220100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28954881065880).

22200220100000 is an abundant number, since it is smaller than the sum of its proper divisors (35709542031760).

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

22200220100000 is an equidigital number, since it uses as much as digits as its factorization.

22200220100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15038 (or 15010 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 22200220100000 its reverse (102200222), we get a palindrome (22200322300222).

The spelling of 22200220100000 in words is "twenty-two trillion, two hundred billion, two hundred twenty million, one hundred thousand".