12136326400 has 432 divisors, whose sum is σ = 34745776128. Its totient is φ = 4156416000.

The previous prime is 12136326383. The next prime is 12136326409. The reversal of 12136326400 is 462363121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12136326409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146220759 + ... + 146220841.

Almost surely, 2^12136326400 is an apocalyptic number.

12136326400 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 12136326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17372888064).

12136326400 is an abundant number, since it is smaller than the sum of its proper divisors (22609449728).

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

12136326400 is a wasteful number, since it uses less digits than its factorization.

12136326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 12136326400 its reverse (462363121), we get a palindrome (12598689521).

The spelling of 12136326400 in words is "twelve billion, one hundred thirty-six million, three hundred twenty-six thousand, four hundred".