12882588240 has 120 divisors (see below), whose sum is σ = 42148829088. Its totient is φ = 3254526720.

The previous prime is 12882588239. The next prime is 12882588241. The reversal of 12882588240 is 4288528821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12882588239) and next prime (12882588241).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×12882588240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12882588240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12882588241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12295 + ... + 160985.

Almost surely, 2^12882588240 is an apocalyptic number.

12882588240 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 12882588240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21074414544).

12882588240 is an abundant number, since it is smaller than the sum of its proper divisors (29266240848).

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

12882588240 is a wasteful number, since it uses less digits than its factorization.

12882588240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148745 (or 148720 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 48.

The spelling of 12882588240 in words is "twelve billion, eight hundred eighty-two million, five hundred eighty-eight thousand, two hundred forty".