12273240128 has 84 divisors (see below), whose sum is σ = 25632910380. Its totient is φ = 5829897216.

The previous prime is 12273240071. The next prime is 12273240169. The reversal of 12273240128 is 82104237221.

It can be written as a sum of positive squares in 2 ways, for example, as 7070791744 + 5202448384 = 84088^2 + 72128^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 12273240094 and 12273240103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5314238 + ... + 5316546.

It is an arithmetic number, because the mean of its divisors is an integer number (305153695).

Almost surely, 2^12273240128 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 12273240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12816455190).

12273240128 is an abundant number, since it is smaller than the sum of its proper divisors (13359670252).

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

12273240128 is a wasteful number, since it uses less digits than its factorization.

12273240128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2524 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

Adding to 12273240128 its reverse (82104237221), we get a palindrome (94377477349).

The spelling of 12273240128 in words is "twelve billion, two hundred seventy-three million, two hundred forty thousand, one hundred twenty-eight".