12777952 has 48 divisors (see below), whose sum is σ = 28353024. Its totient is φ = 5616000.

The previous prime is 12777943. The next prime is 12777967. The reversal of 12777952 is 25977721.

It is a happy number.

12777952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 10327 + ... + 11497.

It is an arithmetic number, because the mean of its divisors is an integer number (590688).

Almost surely, 2^12777952 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 12777952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14176512).

12777952 is an abundant number, since it is smaller than the sum of its proper divisors (15575072).

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

12777952 is a wasteful number, since it uses less digits than its factorization.

12777952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1215 counting only the distinct ones).

The product of its digits is 61740, while the sum is 40.

The square root of 12777952 is about 3574.6261342971. The cubic root of 12777952 is about 233.7870319854.

It can be divided in two parts, 1277 and 7952, that added together give a palindrome (9229).

The spelling of 12777952 in words is "twelve million, seven hundred seventy-seven thousand, nine hundred fifty-two".