12087547600128 has 576 divisors, whose sum is σ = 43714603763712. Its totient is φ = 2863181168640.

The previous prime is 12087547600097. The next prime is 12087547600207. The reversal of 12087547600128 is 82100674578021.

It is a happy number.

It is a super-2 number, since 2×12087547600128² (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 63 ways as a sum of consecutive naturals, for example, 63713026 + ... + 63902462.

It is an arithmetic number, because the mean of its divisors is an integer number (75893409312).

Almost surely, 2^{12087547600128} 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 12087547600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21857301881856).

12087547600128 is an abundant number, since it is smaller than the sum of its proper divisors (31627056163584).

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

12087547600128 is a wasteful number, since it uses less digits than its factorization.

12087547600128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189570 (or 189556 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 12087547600128 in words is "twelve trillion, eighty-seven billion, five hundred forty-seven million, six hundred thousand, one hundred twenty-eight".