12128662749720 has 512 divisors, whose sum is σ = 41083863552000. Its totient is φ = 2839329884160.

The previous prime is 12128662749719. The next prime is 12128662749793. The reversal of 12128662749720 is 2794726682121.

It is a super-2 number, since 2×12128662749720² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1977603774 + ... + 1977609906.

It is an arithmetic number, because the mean of its divisors is an integer number (80241921000).

Almost surely, 2^{12128662749720} is an apocalyptic number.

12128662749720 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 12128662749720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20541931776000).

12128662749720 is an abundant number, since it is smaller than the sum of its proper divisors (28955200802280).

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

12128662749720 is a wasteful number, since it uses less digits than its factorization.

12128662749720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6663 (or 6659 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 12128662749720 in words is "twelve trillion, one hundred twenty-eight billion, six hundred sixty-two million, seven hundred forty-nine thousand, seven hundred twenty".