20202210000000 has 1920 divisors, whose sum is σ = 87593022831600. Its totient is φ = 4608576000000.

The previous prime is 20202209999981. The next prime is 20202210000001. The reversal of 20202210000000 is 1220202.

It can be written as a sum of positive squares in 8 ways, for example, as 16252959998016 + 3949250001984 = 4031496^2 + 1987272^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 (20202210000001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39689999746 + ... + 39690000254.

Almost surely, 2^{20202210000000} is an apocalyptic number.

20202210000000 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 20202210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43796511415800).

20202210000000 is an abundant number, since it is smaller than the sum of its proper divisors (67390812831600).

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

20202210000000 is an frugal number, since it uses more digits than its factorization.

20202210000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20202210000000 its reverse (1220202), we get a palindrome (20202211220202).

The spelling of 20202210000000 in words is "twenty trillion, two hundred two billion, two hundred ten million", and thus it is an aban number.