12771948 has 96 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 3490368.

The previous prime is 12771943. The next prime is 12771949. The reversal of 12771948 is 84917721.

It is not an unprimeable number, because it can be changed into a prime (12771943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119311 + ... + 119417.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^12771948 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 12771948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

12771948 is an abundant number, since it is smaller than the sum of its proper divisors (23516052).

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

12771948 is a wasteful number, since it uses less digits than its factorization.

12771948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 12771948 is about 3573.7862275184. The cubic root of 12771948 is about 233.7504096002.

The spelling of 12771948 in words is "twelve million, seven hundred seventy-one thousand, nine hundred forty-eight".