12736106240 has 288 divisors, whose sum is σ = 37957864896. Its totient is φ = 4022599680.

The previous prime is 12736106197. The next prime is 12736106281. The reversal of 12736106240 is 4260163721.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12736106197 and 12736106206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3109634 + ... + 3113726.

It is an arithmetic number, because the mean of its divisors is an integer number (131798142).

Almost surely, 2^12736106240 is an apocalyptic number.

12736106240 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 12736106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18978932448).

12736106240 is an abundant number, since it is smaller than the sum of its proper divisors (25221758656).

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

12736106240 is a wasteful number, since it uses less digits than its factorization.

12736106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 12736106240 its reverse (4260163721), we get a palindrome (16996269961).

The spelling of 12736106240 in words is "twelve billion, seven hundred thirty-six million, one hundred six thousand, two hundred forty".