12900835033728 has 128 divisors (see below), whose sum is σ = 34483604238720. Its totient is φ = 4273218256896.

The previous prime is 12900835033579. The next prime is 12900835033747. The reversal of 12900835033728 is 82733053800921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221661400 + ... + 221719592.

It is an arithmetic number, because the mean of its divisors is an integer number (269403158115).

Almost surely, 2^{12900835033728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12900835033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241802119360).

12900835033728 is an abundant number, since it is smaller than the sum of its proper divisors (21582769204992).

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

12900835033728 is a wasteful number, since it uses less digits than its factorization.

12900835033728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61834 (or 61822 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 12900835033728 in words is "twelve trillion, nine hundred billion, eight hundred thirty-five million, thirty-three thousand, seven hundred twenty-eight".