22202022010000 has 300 divisors, whose sum is σ = 62611742188380. Its totient is φ = 7602094080000.

The previous prime is 22202022009907. The next prime is 22202022010037. The reversal of 22202022010000 is 1022020222.

It can be written as a sum of positive squares in 10 ways, for example, as 19973426858896 + 2228595151104 = 4469164^2 + 1492848^2 .

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 59 ways as a sum of consecutive naturals, for example, 376780540 + ... + 376839460.

Almost surely, 2^{22202022010000} is an apocalyptic number.

22202022010000 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 22202022010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31305871094190).

22202022010000 is an abundant number, since it is smaller than the sum of its proper divisors (40409720178380).

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

22202022010000 is an equidigital number, since it uses as much as digits as its factorization.

22202022010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59732 (or 59704 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22202022010000 its reverse (1022020222), we get a palindrome (22203044030222).

The spelling of 22202022010000 in words is "twenty-two trillion, two hundred two billion, twenty-two million, ten thousand".