12961472 has 56 divisors (see below), whose sum is σ = 27310080. Its totient is φ = 6094080.

The previous prime is 12961471. The next prime is 12961483. The reversal of 12961472 is 27416921.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12961471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93179 + ... + 93317.

It is an arithmetic number, because the mean of its divisors is an integer number (487680).

Almost surely, 2^12961472 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 12961472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13655040).

12961472 is an abundant number, since it is smaller than the sum of its proper divisors (14348608).

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

12961472 is a wasteful number, since it uses less digits than its factorization.

12961472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 219 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 12961472 is about 3600.2044386396. The cubic root of 12961472 is about 234.9009511661.

The spelling of 12961472 in words is "twelve million, nine hundred sixty-one thousand, four hundred seventy-two".