12025726130400 has 576 divisors, whose sum is σ = 39780603878400. Its totient is φ = 3155281920000.

The previous prime is 12025726130323. The next prime is 12025726130413. The reversal of 12025726130400 is 403162752021.

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 95 ways as a sum of consecutive naturals, for example, 27393453381 + ... + 27393453819.

It is an arithmetic number, because the mean of its divisors is an integer number (69063548400).

Almost surely, 2^{12025726130400} is an apocalyptic number.

12025726130400 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 12025726130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19890301939200).

12025726130400 is an abundant number, since it is smaller than the sum of its proper divisors (27754877748000).

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

12025726130400 is a wasteful number, since it uses less digits than its factorization.

12025726130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 12025726130400 its reverse (403162752021), we get a palindrome (12428888882421).

The spelling of 12025726130400 in words is "twelve trillion, twenty-five billion, seven hundred twenty-six million, one hundred thirty thousand, four hundred".