12313200096 has 240 divisors, whose sum is σ = 38729474784. Its totient is φ = 3824050176.

The previous prime is 12313200071. The next prime is 12313200131. The reversal of 12313200096 is 69000231321.

It is a super-2 number, since 2×12313200096² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4537236 + ... + 4539948.

Almost surely, 2^12313200096 is an apocalyptic number.

12313200096 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 12313200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19364737392).

12313200096 is an abundant number, since it is smaller than the sum of its proper divisors (26416274688).

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

12313200096 is a wasteful number, since it uses less digits than its factorization.

12313200096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 12313200096 in words is "twelve billion, three hundred thirteen million, two hundred thousand, ninety-six".