12801152 has 96 divisors (see below), whose sum is σ = 32151420. Its totient is φ = 5031936.

The previous prime is 12801127. The next prime is 12801157. The reversal of 12801152 is 25110821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11669056 + 1132096 = 3416^2 + 1064^2 .

12801152 is a modest number, since divided by 1152 gives 128 as remainder.

It is not an unprimeable number, because it can be changed into a prime (12801157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81458 + ... + 81614.

Almost surely, 2^12801152 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 12801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075710).

12801152 is an abundant number, since it is smaller than the sum of its proper divisors (19350268).

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

12801152 is a wasteful number, since it uses less digits than its factorization.

12801152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 12801152 is about 3577.8697572718. The cubic root of 12801152 is about 233.9284364891.

Adding to 12801152 its reverse (25110821), we get a palindrome (37911973).

The spelling of 12801152 in words is "twelve million, eight hundred one thousand, one hundred fifty-two".