12139071049728 has 1872 divisors, whose sum is σ = 45001930646400. Its totient is φ = 3265710981120.

The previous prime is 12139071049717. The next prime is 12139071049769. The reversal of 12139071049728 is 82794017093121.

12139071049728 is a `hidden beast` number, since 1 + 2 + 139 + 0 + 7 + 10 + 497 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 328083001326 + ... + 328083001362.

Almost surely, 2^{12139071049728} is an apocalyptic number.

12139071049728 is a gapful number since it is divisible by the number (18) 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 12139071049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22500965323200).

12139071049728 is an abundant number, since it is smaller than the sum of its proper divisors (32862859596672).

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

12139071049728 is an frugal number, since it uses more digits than its factorization.

12139071049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 12139071049728 in words is "twelve trillion, one hundred thirty-nine billion, seventy-one million, forty-nine thousand, seven hundred twenty-eight".