12887281152 has 240 divisors, whose sum is σ = 38557099152. Its totient is φ = 4140564480.

The previous prime is 12887281151. The next prime is 12887281181. The reversal of 12887281152 is 25118278821.

It is a junction number, because it is equal to n+sod(n) for n = 12887281098 and 12887281107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12887281151) 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, 22334688 + ... + 22335264.

Almost surely, 2^12887281152 is an apocalyptic number.

12887281152 is a gapful number since it is divisible by the number (12) 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 12887281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278549576).

12887281152 is an abundant number, since it is smaller than the sum of its proper divisors (25669818000).

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

12887281152 is a wasteful number, since it uses less digits than its factorization.

12887281152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 750 counting only the distinct ones).

The product of its digits is 143360, while the sum is 45.

The spelling of 12887281152 in words is "twelve billion, eight hundred eighty-seven million, two hundred eighty-one thousand, one hundred fifty-two".