12323288134080 has 3360 divisors, whose sum is σ = 59897723719680. Its totient is φ = 2345191833600.

The previous prime is 12323288134039. The next prime is 12323288134121. The reversal of 12323288134080 is 8043188232321.

12323288134080 is a `hidden beast` number, since 1 + 2 + 3 + 23 + 288 + 1 + 340 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12323288134039) and next prime (12323288134121).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12931046884 + ... + 12931047836.

It is an arithmetic number, because the mean of its divisors is an integer number (17826703488).

Almost surely, 2^{12323288134080} is an apocalyptic number.

12323288134080 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 12323288134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29948861859840).

12323288134080 is an abundant number, since it is smaller than the sum of its proper divisors (47574435585600).

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

12323288134080 is a wasteful number, since it uses less digits than its factorization.

12323288134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 12323288134080 in words is "twelve trillion, three hundred twenty-three billion, two hundred eighty-eight million, one hundred thirty-four thousand, eighty".