12129728245440 has 448 divisors, whose sum is σ = 44837156797440. Its totient is φ = 2752181452800.

The previous prime is 12129728245429. The next prime is 12129728245441. The reversal of 12129728245440 is 4454282792121.

It is not an unprimeable number, because it can be changed into a prime (12129728245441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8082165 + ... + 9464715.

It is an arithmetic number, because the mean of its divisors is an integer number (100082939280).

Almost surely, 2^{12129728245440} is an apocalyptic number.

12129728245440 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 12129728245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22418578398720).

12129728245440 is an abundant number, since it is smaller than the sum of its proper divisors (32707428552000).

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

12129728245440 is a wasteful number, since it uses less digits than its factorization.

12129728245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382640 (or 1382630 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 12129728245440 in words is "twelve trillion, one hundred twenty-nine billion, seven hundred twenty-eight million, two hundred forty-five thousand, four hundred forty".