12451521400 has 96 divisors (see below), whose sum is σ = 29322654480. Its totient is φ = 4916736000.

The previous prime is 12451521391. The next prime is 12451521443. The reversal of 12451521400 is 412515421.

12451521400 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 (25).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 12822915 + ... + 12823885.

Almost surely, 2^12451521400 is an apocalyptic number.

12451521400 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 12451521400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14661327240).

12451521400 is an abundant number, since it is smaller than the sum of its proper divisors (16871133080).

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

12451521400 is a wasteful number, since it uses less digits than its factorization.

12451521400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 12451521400 in words is "twelve billion, four hundred fifty-one million, five hundred twenty-one thousand, four hundred".