22010671642200 has 192 divisors, whose sum is σ = 69721072565760. Its totient is φ = 5741643102720.

The previous prime is 22010671642159. The next prime is 22010671642231. The reversal of 22010671642200 is 224617601022.

It is a super-2 number, since 2×22010671642200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54308707 + ... + 54712493.

It is an arithmetic number, because the mean of its divisors is an integer number (363130586280).

Almost surely, 2^{22010671642200} is an apocalyptic number.

22010671642200 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 22010671642200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34860536282880).

22010671642200 is an abundant number, since it is smaller than the sum of its proper divisors (47710400923560).

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

22010671642200 is a wasteful number, since it uses less digits than its factorization.

22010671642200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405786 (or 405777 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 22010671642200 in words is "twenty-two trillion, ten billion, six hundred seventy-one million, six hundred forty-two thousand, two hundred".