12971448 has 128 divisors (see below), whose sum is σ = 43084800. Its totient is φ = 3535488.

The previous prime is 12971447. The next prime is 12971507. The reversal of 12971448 is 84417921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12971447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34590 + ... + 34962.

It is an arithmetic number, because the mean of its divisors is an integer number (336600).

Almost surely, 2^12971448 is an apocalyptic number.

12971448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12971448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21542400).

12971448 is an abundant number, since it is smaller than the sum of its proper divisors (30113352).

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

12971448 is a wasteful number, since it uses less digits than its factorization.

12971448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 12971448 is about 3601.5896490300. The cubic root of 12971448 is about 234.9612007772.

The spelling of 12971448 in words is "twelve million, nine hundred seventy-one thousand, four hundred forty-eight".