12314100000 has 144 divisors (see below), whose sum is σ = 40404038976. Its totient is φ = 3283680000.

The previous prime is 12314099971. The next prime is 12314100067. The reversal of 12314100000 is 141321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 279477 + ... + 320523.

It is an arithmetic number, because the mean of its divisors is an integer number (280583604).

Almost surely, 2^12314100000 is an apocalyptic number.

12314100000 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 12314100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20202019488).

12314100000 is an abundant number, since it is smaller than the sum of its proper divisors (28089938976).

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

12314100000 is an frugal number, since it uses more digits than its factorization.

12314100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41085 (or 41057 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12314100000 its reverse (141321), we get a palindrome (12314241321).

The spelling of 12314100000 in words is "twelve billion, three hundred fourteen million, one hundred thousand".