12809127240 has 768 divisors, whose sum is σ = 54858988800. Its totient is φ = 2633637888.

The previous prime is 12809127203. The next prime is 12809127251. The reversal of 12809127240 is 4272190821.

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

It is a junction number, because it is equal to n+sod(n) for n = 12809127195 and 12809127204.

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, 29582064 + ... + 29582496.

It is an arithmetic number, because the mean of its divisors is an integer number (71430975).

Almost surely, 2^12809127240 is an apocalyptic number.

12809127240 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 12809127240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27429494400).

12809127240 is an abundant number, since it is smaller than the sum of its proper divisors (42049861560).

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

12809127240 is a wasteful number, since it uses less digits than its factorization.

12809127240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12809127240 in words is "twelve billion, eight hundred nine million, one hundred twenty-seven thousand, two hundred forty".