12314112000 has 208 divisors, whose sum is σ = 40981473312. Its totient is φ = 3283353600.

The previous prime is 12314111981. The next prime is 12314112007. The reversal of 12314112000 is 21141321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314112007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1531992 + ... + 1540008.

It is an arithmetic number, because the mean of its divisors is an integer number (197026314).

Almost surely, 2^12314112000 is an apocalyptic number.

12314112000 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 12314112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20490736656).

12314112000 is an abundant number, since it is smaller than the sum of its proper divisors (28667361312).

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

12314112000 is an frugal number, since it uses more digits than its factorization.

12314112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12314112000 its reverse (21141321), we get a palindrome (12335253321).

The spelling of 12314112000 in words is "twelve billion, three hundred fourteen million, one hundred twelve thousand".