12281280128 has 64 divisors (see below), whose sum is σ = 26387226600. Its totient is φ = 5659987968.

The previous prime is 12281280119. The next prime is 12281280139. The reversal of 12281280128 is 82108218221.

It can be written as a sum of positive squares in 4 ways, for example, as 10435031104 + 1846249024 = 102152^2 + 42968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1214678 + ... + 1224746.

Almost surely, 2^12281280128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12281280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13193613300).

12281280128 is an abundant number, since it is smaller than the sum of its proper divisors (14105946472).

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

12281280128 is a wasteful number, since it uses less digits than its factorization.

12281280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10829 (or 10817 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 35.

Adding to 12281280128 its reverse (82108218221), we get a palindrome (94389498349).

The spelling of 12281280128 in words is "twelve billion, two hundred eighty-one million, two hundred eighty thousand, one hundred twenty-eight".