12802127040 has 336 divisors, whose sum is σ = 47853112320. Its totient is φ = 3129477120.

The previous prime is 12802127003. The next prime is 12802127047. The reversal of 12802127040 is 4072120821.

It is a junction number, because it is equal to n+sod(n) for n = 12802126995 and 12802127013.

It is not an unprimeable number, because it can be changed into a prime (12802127047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692547 + ... + 1700093.

Almost surely, 2^12802127040 is an apocalyptic number.

12802127040 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 12802127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23926556160).

12802127040 is an abundant number, since it is smaller than the sum of its proper divisors (35050985280).

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

12802127040 is a wasteful number, since it uses less digits than its factorization.

12802127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7620 (or 7607 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 12802127040 its reverse (4072120821), we get a palindrome (16874247861).

The spelling of 12802127040 in words is "twelve billion, eight hundred two million, one hundred twenty-seven thousand, forty".