20221322312202 has 128 divisors (see below), whose sum is σ = 45416771850240. Its totient is φ = 5950284960000.

The previous prime is 20221322312201. The next prime is 20221322312251.

20221322312202 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (20221322312201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169450068 + ... + 169569360.

It is an arithmetic number, because the mean of its divisors is an integer number (354818530080).

Almost surely, 2^{20221322312202} is an apocalyptic number.

20221322312202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221322312202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22708385925120).

20221322312202 is an abundant number, since it is smaller than the sum of its proper divisors (25195449538038).

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

20221322312202 is a wasteful number, since it uses less digits than its factorization.

20221322312202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119900.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2022132 and 2312202, that added together give a palindrome (4334334).

The spelling of 20221322312202 in words is "twenty trillion, two hundred twenty-one billion, three hundred twenty-two million, three hundred twelve thousand, two hundred two".