12514252400400 has 240 divisors, whose sum is σ = 40357716369408. Its totient is φ = 3314693184000.

The previous prime is 12514252400383. The next prime is 12514252400443. The reversal of 12514252400400 is 400425241521.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117351105 + ... + 117457695.

Almost surely, 2^{12514252400400} is an apocalyptic number.

12514252400400 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 12514252400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20178858184704).

12514252400400 is an abundant number, since it is smaller than the sum of its proper divisors (27843463969008).

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

12514252400400 is a wasteful number, since it uses less digits than its factorization.

12514252400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107270 (or 107259 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 12514252400400 its reverse (400425241521), we get a palindrome (12914677641921).

The spelling of 12514252400400 in words is "twelve trillion, five hundred fourteen billion, two hundred fifty-two million, four hundred thousand, four hundred".