12540130420400 has 120 divisors (see below), whose sum is σ = 32874765969600. Its totient is φ = 4558906374400.

The previous prime is 12540130420339. The next prime is 12540130420409. The reversal of 12540130420400 is 402403104521.

12540130420400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12540130420400.

It is not an unprimeable number, because it can be changed into a prime (12540130420409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17329031 + ... + 18038169.

It is an arithmetic number, because the mean of its divisors is an integer number (273956383080).

Almost surely, 2^{12540130420400} is an apocalyptic number.

12540130420400 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 12540130420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16437382984800).

12540130420400 is an abundant number, since it is smaller than the sum of its proper divisors (20334635549200).

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

12540130420400 is a wasteful number, since it uses less digits than its factorization.

12540130420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713187 (or 713176 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 12540130420400 its reverse (402403104521), we get a palindrome (12942533524921).

The spelling of 12540130420400 in words is "twelve trillion, five hundred forty billion, one hundred thirty million, four hundred twenty thousand, four hundred".