12364812096 has 672 divisors, whose sum is σ = 45824607360. Its totient is φ = 2898395136.

The previous prime is 12364812049. The next prime is 12364812151. The reversal of 12364812096 is 69021846321.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39504036 + ... + 39504348.

It is an arithmetic number, because the mean of its divisors is an integer number (68191380).

Almost surely, 2^12364812096 is an apocalyptic number.

12364812096 is a gapful number since it is divisible by the number (16) 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 12364812096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22912303680).

12364812096 is an abundant number, since it is smaller than the sum of its proper divisors (33459795264).

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

12364812096 is a wasteful number, since it uses less digits than its factorization.

12364812096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 12364812096 in words is "twelve billion, three hundred sixty-four million, eight hundred twelve thousand, ninety-six".