12139827262080 has 1024 divisors, whose sum is σ = 45464459673600. Its totient is φ = 2698405871616.

The previous prime is 12139827262049. The next prime is 12139827262103. The reversal of 12139827262080 is 8026272893121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26564173212 + ... + 26564173668.

It is an arithmetic number, because the mean of its divisors is an integer number (44398886400).

Almost surely, 2^{12139827262080} is an apocalyptic number.

12139827262080 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 12139827262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22732229836800).

12139827262080 is an abundant number, since it is smaller than the sum of its proper divisors (33324632411520).

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

12139827262080 is a wasteful number, since it uses less digits than its factorization.

12139827262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 12139827262080 in words is "twelve trillion, one hundred thirty-nine billion, eight hundred twenty-seven million, two hundred sixty-two thousand, eighty".