22000200222000 has 1920 divisors, whose sum is σ = 99560315731968. Its totient is φ = 4105479168000.

The previous prime is 22000200221977. The next prime is 22000200222001. The reversal of 22000200222000 is 22200200022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (22000200222001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1555546929 + ... + 1555561071.

Almost surely, 2^{22000200222000} is an apocalyptic number.

22000200222000 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 22000200222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49780157865984).

22000200222000 is an abundant number, since it is smaller than the sum of its proper divisors (77560115509968).

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

22000200222000 is a wasteful number, since it uses less digits than its factorization.

22000200222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14244 (or 14221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 22000200222000 its reverse (22200200022), we get a palindrome (22022400422022).

The spelling of 22000200222000 in words is "twenty-two trillion, two hundred million, two hundred twenty-two thousand".