112302210300 has 288 divisors, whose sum is σ = 381886224384. Its totient is φ = 24945408000.

The previous prime is 112302210299. The next prime is 112302210329. The reversal of 112302210300 is 3012203211.

It is a super-2 number, since 2×112302210300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112302210300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23330694 + ... + 23335506.

Almost surely, 2^112302210300 is an apocalyptic number.

112302210300 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 112302210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190943112192).

112302210300 is an abundant number, since it is smaller than the sum of its proper divisors (269584014084).

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

112302210300 is a wasteful number, since it uses less digits than its factorization.

112302210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 112302210300 its reverse (3012203211), we get a palindrome (115314413511).

The spelling of 112302210300 in words is "one hundred twelve billion, three hundred two million, two hundred ten thousand, three hundred".