12711146240 has 144 divisors (see below), whose sum is σ = 33488961408. Its totient is φ = 4593205248.

The previous prime is 12711146183. The next prime is 12711146249. The reversal of 12711146240 is 4264111721.

It is a happy number.

It is a super-2 number, since 2×12711146240² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12711146249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773954 + ... + 790206.

It is an arithmetic number, because the mean of its divisors is an integer number (232562232).

Almost surely, 2^12711146240 is an apocalyptic number.

12711146240 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 12711146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744480704).

12711146240 is an abundant number, since it is smaller than the sum of its proper divisors (20777815168).

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

12711146240 is a wasteful number, since it uses less digits than its factorization.

12711146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16334 (or 16320 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 12711146240 its reverse (4264111721), we get a palindrome (16975257961).

The spelling of 12711146240 in words is "twelve billion, seven hundred eleven million, one hundred forty-six thousand, two hundred forty".