12028997142528 has 768 divisors, whose sum is σ = 34957966417920. Its totient is φ = 3670946611200.

The previous prime is 12028997142517. The next prime is 12028997142557. The reversal of 12028997142528 is 82524179982021.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×12028997142528³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43425982326 + ... + 43425982602.

It is an arithmetic number, because the mean of its divisors is an integer number (45518185440).

Almost surely, 2^{12028997142528} 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 12028997142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17478983208960).

12028997142528 is an abundant number, since it is smaller than the sum of its proper divisors (22928969275392).

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

12028997142528 is a wasteful number, since it uses less digits than its factorization.

12028997142528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 12028997142528 in words is "twelve trillion, twenty-eight billion, nine hundred ninety-seven million, one hundred forty-two thousand, five hundred twenty-eight".