11986128000 has 1536 divisors, whose sum is σ = 57191546880. Its totient is φ = 2331648000.

The previous prime is 11986127987. The next prime is 11986128013. The reversal of 11986128000 is 82168911.

It is an interprime number because it is at equal distance from previous prime (11986127987) and next prime (11986128013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 255023977 + ... + 255024023.

It is an arithmetic number, because the mean of its divisors is an integer number (37234080).

Almost surely, 2^11986128000 is an apocalyptic number.

11986128000 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 11986128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28595773440).

11986128000 is an abundant number, since it is smaller than the sum of its proper divisors (45205418880).

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

11986128000 is a wasteful number, since it uses less digits than its factorization.

11986128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 11986128000 in words is "eleven billion, nine hundred eighty-six million, one hundred twenty-eight thousand".