12302344100 has 72 divisors (see below), whose sum is σ = 28799984808. Its totient is φ = 4544051200.

The previous prime is 12302344099. The next prime is 12302344123. The reversal of 12302344100 is 144320321.

It can be written as a sum of positive squares in 12 ways, for example, as 3341071204 + 8961272896 = 57802^2 + 94664^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 21830 + ... + 158370.

It is an arithmetic number, because the mean of its divisors is an integer number (399999789).

Almost surely, 2^12302344100 is an apocalyptic number.

12302344100 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 12302344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399992404).

12302344100 is an abundant number, since it is smaller than the sum of its proper divisors (16497640708).

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

12302344100 is a wasteful number, since it uses less digits than its factorization.

12302344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136625 (or 136618 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12302344100 its reverse (144320321), we get a palindrome (12446664421).

The spelling of 12302344100 in words is "twelve billion, three hundred two million, three hundred forty-four thousand, one hundred".