12514207104 has 320 divisors, whose sum is σ = 42787245600. Its totient is φ = 3556638720.

The previous prime is 12514207091. The next prime is 12514207109. The reversal of 12514207104 is 40170241521.

12514207104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12514207109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19522624 + ... + 19523264.

Almost surely, 2^12514207104 is an apocalyptic number.

12514207104 is a gapful number since it is divisible by the number (14) 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 12514207104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21393622800).

12514207104 is an abundant number, since it is smaller than the sum of its proper divisors (30273038496).

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

12514207104 is an equidigital number, since it uses as much as digits as its factorization.

12514207104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 12514207104 its reverse (40170241521), we get a palindrome (52684448625).

The spelling of 12514207104 in words is "twelve billion, five hundred fourteen million, two hundred seven thousand, one hundred four".