12387695612400 has 960 divisors, whose sum is σ = 49594057920000. Its totient is φ = 2918321602560.

The previous prime is 12387695612371. The next prime is 12387695612447. The reversal of 12387695612400 is 421659678321.

It is a happy number.

12387695612400 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 76 + 9 + 561 + 2 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×12387695612400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 380219311 + ... + 380251889.

It is an arithmetic number, because the mean of its divisors is an integer number (51660477000).

It is a 1-persistent number, because it is pandigital, but 2⋅12387695612400 = 24775391224800 is not.

Almost surely, 2^{12387695612400} is an apocalyptic number.

12387695612400 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 12387695612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24797028960000).

12387695612400 is an abundant number, since it is smaller than the sum of its proper divisors (37206362307600).

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

12387695612400 is a wasteful number, since it uses less digits than its factorization.

12387695612400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32751 (or 32734 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12387695612400 in words is "twelve trillion, three hundred eighty-seven billion, six hundred ninety-five million, six hundred twelve thousand, four hundred".