112320202320 has 120 divisors (see below), whose sum is σ = 378179310600. Its totient is φ = 29874981888.

The previous prime is 112320202301. The next prime is 112320202331. The reversal of 112320202320 is 23202023211.

112320202320 is a `hidden beast` number, since 1 + 1 + 2 + 320 + 20 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18147322944 + 94172879376 = 134712^2 + 306876^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112320202293 and 112320202302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79566 + ... + 480594.

It is an arithmetic number, because the mean of its divisors is an integer number (3151494255).

Almost surely, 2^112320202320 is an apocalyptic number.

112320202320 is a gapful number since it is divisible by the number (10) 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 112320202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189089655300).

112320202320 is an abundant number, since it is smaller than the sum of its proper divisors (265859108280).

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

112320202320 is a wasteful number, since it uses less digits than its factorization.

112320202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401437 (or 401428 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 112320202320 its reverse (23202023211), we get a palindrome (135522225531).

It can be divided in two parts, 1 and 12320202320, that added together give a palindrome (12320202321).

The spelling of 112320202320 in words is "one hundred twelve billion, three hundred twenty million, two hundred two thousand, three hundred twenty".