12343129069440 has 256 divisors, whose sum is σ = 42442395448320. Its totient is φ = 3033129099264.

The previous prime is 12343129069417. The next prime is 12343129069493. The reversal of 12343129069440 is 4496092134321.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12343129069440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14230297 + ... + 15072743.

It is an arithmetic number, because the mean of its divisors is an integer number (165790607220).

Almost surely, 2^{12343129069440} is an apocalyptic number.

12343129069440 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 12343129069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21221197724160).

12343129069440 is an abundant number, since it is smaller than the sum of its proper divisors (30099266378880).

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

12343129069440 is a wasteful number, since it uses less digits than its factorization.

12343129069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843069 (or 843057 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 12343129069440 in words is "twelve trillion, three hundred forty-three billion, one hundred twenty-nine million, sixty-nine thousand, four hundred forty".