12193365396000 has 768 divisors, whose sum is σ = 44038906329600. Its totient is φ = 2936586240000.

The previous prime is 12193365395993. The next prime is 12193365396007. The reversal of 12193365396000 is 69356339121.

It is an interprime number because it is at equal distance from previous prime (12193365395993) and next prime (12193365396007).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12193365396007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 510192051 + ... + 510215949.

It is an arithmetic number, because the mean of its divisors is an integer number (57342325950).

Almost surely, 2^{12193365396000} is an apocalyptic number.

12193365396000 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 12193365396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22019453164800).

12193365396000 is an abundant number, since it is smaller than the sum of its proper divisors (31845540933600).

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

12193365396000 is a wasteful number, since it uses less digits than its factorization.

12193365396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24046 (or 24028 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 48.

The spelling of 12193365396000 in words is "twelve trillion, one hundred ninety-three billion, three hundred sixty-five million, three hundred ninety-six thousand".