12135614400 has 1260 divisors, whose sum is σ = 56196328552. Its totient is φ = 2560481280.

The previous prime is 12135614371. The next prime is 12135614401. The reversal of 12135614400 is 441653121.

It is a happy number.

12135614400 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 5 + 614 + 40 + 0 = 666.

12135614400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12135614401) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 933508794 + ... + 933508806.

Almost surely, 2^12135614400 is an apocalyptic number.

12135614400 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 12135614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28098164276).

12135614400 is an abundant number, since it is smaller than the sum of its proper divisors (44060714152).

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

12135614400 is an frugal number, since it uses more digits than its factorization.

12135614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12135614400 in words is "twelve billion, one hundred thirty-five million, six hundred fourteen thousand, four hundred".