12759220240 has 80 divisors (see below), whose sum is σ = 32126068800. Its totient is φ = 4684709376.

The previous prime is 12759220231. The next prime is 12759220249. The reversal of 12759220240 is 4202295721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12759220231) and next prime (12759220249).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12759220240² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12759220196 and 12759220205.

It is not an unprimeable number, because it can be changed into a prime (12759220249) 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, 151891 + ... + 220429.

It is an arithmetic number, because the mean of its divisors is an integer number (401575860).

Almost surely, 2^12759220240 is an apocalyptic number.

12759220240 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 12759220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063034400).

12759220240 is an abundant number, since it is smaller than the sum of its proper divisors (19366848560).

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

12759220240 is a wasteful number, since it uses less digits than its factorization.

12759220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68744 (or 68738 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 12759220240 in words is "twelve billion, seven hundred fifty-nine million, two hundred twenty thousand, two hundred forty".