12314402100 has 432 divisors, whose sum is σ = 51828766080. Its totient is φ = 2361830400.

The previous prime is 12314402083. The next prime is 12314402129. The reversal of 12314402100 is 120441321.

12314402100 is a `hidden beast` number, since 12 + 3 + 1 + 440 + 210 + 0 = 666.

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

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 143 ways as a sum of consecutive naturals, for example, 894066 + ... + 907734.

Almost surely, 2^12314402100 is an apocalyptic number.

12314402100 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 12314402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25914383040).

12314402100 is an abundant number, since it is smaller than the sum of its proper divisors (39514363980).

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

12314402100 is a wasteful number, since it uses less digits than its factorization.

12314402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12314402100 its reverse (120441321), we get a palindrome (12434843421).

It can be divided in two parts, 12314 and 402100, that added together give a palindrome (414414).

The spelling of 12314402100 in words is "twelve billion, three hundred fourteen million, four hundred two thousand, one hundred".