20122200202000 has 160 divisors (see below), whose sum is σ = 52519250740320. Its totient is φ = 7412572569600.

The previous prime is 20122200201997. The next prime is 20122200202001. The reversal of 20122200202000 is 20200222102.

It can be written as a sum of positive squares in 16 ways, for example, as 19642765824256 + 479434377744 = 4432016^2 + 692412^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (20122200202001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10364316 + ... + 12151684.

It is an arithmetic number, because the mean of its divisors is an integer number (328245317127).

Almost surely, 2^{20122200202000} is an apocalyptic number.

20122200202000 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 20122200202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26259625370160).

20122200202000 is an abundant number, since it is smaller than the sum of its proper divisors (32397050538320).

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

20122200202000 is a wasteful number, since it uses less digits than its factorization.

20122200202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787838 (or 1787822 counting only the distinct ones).

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

Adding to 20122200202000 its reverse (20200222102), we get a palindrome (20142400424102).

The spelling of 20122200202000 in words is "twenty trillion, one hundred twenty-two billion, two hundred million, two hundred two thousand".