202202112320 has 112 divisors (see below), whose sum is σ = 520021261200. Its totient is φ = 74444783616.

The previous prime is 202202112257. The next prime is 202202112353. The reversal of 202202112320 is 23211202202.

It can be written as a sum of positive squares in 8 ways, for example, as 9291417664 + 192910694656 = 96392^2 + 439216^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1382204 + ... + 1521476.

It is an arithmetic number, because the mean of its divisors is an integer number (4643046975).

Almost surely, 2^202202112320 is an apocalyptic number.

202202112320 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 202202112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260010630600).

202202112320 is an abundant number, since it is smaller than the sum of its proper divisors (317819148880).

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

202202112320 is a wasteful number, since it uses less digits than its factorization.

202202112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139652 (or 139642 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 202202112320 its reverse (23211202202), we get a palindrome (225413314522).

The spelling of 202202112320 in words is "two hundred two billion, two hundred two million, one hundred twelve thousand, three hundred twenty".