12501452110400 has 168 divisors, whose sum is σ = 33566190001344. Its totient is φ = 4544856217600.

The previous prime is 12501452110373. The next prime is 12501452110403. The reversal of 12501452110400 is 401125410521.

It is a happy number.

12501452110400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×12501452110400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12501452110400.

It is not an unprimeable number, because it can be changed into a prime (12501452110403) 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, 72654869 + ... + 72826731.

It is an arithmetic number, because the mean of its divisors is an integer number (199798750008).

Almost surely, 2^{12501452110400} is an apocalyptic number.

12501452110400 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 12501452110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16783095000672).

12501452110400 is an abundant number, since it is smaller than the sum of its proper divisors (21064737890944).

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

12501452110400 is a wasteful number, since it uses less digits than its factorization.

12501452110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176029 (or 176014 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 12501452110400 its reverse (401125410521), we get a palindrome (12902577520921).

The spelling of 12501452110400 in words is "twelve trillion, five hundred one billion, four hundred fifty-two million, one hundred ten thousand, four hundred".