12126961 has 24 divisors (see below), whose sum is σ = 15595200. Its totient is φ = 9324000.

The previous prime is 12126953. The next prime is 12126971. The reversal of 12126961 is 16962121.

12126961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12126961 - 2³ = 12126953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12126931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80236 + ... + 80386.

It is an arithmetic number, because the mean of its divisors is an integer number (649800).

Almost surely, 2^12126961 is an apocalyptic number.

12126961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12126961 is a deficient number, since it is larger than the sum of its proper divisors (3468239).

12126961 is a wasteful number, since it uses less digits than its factorization.

12126961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 318 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The square root of 12126961 is about 3482.3786411015. The cubic root of 12126961 is about 229.7474291090.

The spelling of 12126961 in words is "twelve million, one hundred twenty-six thousand, nine hundred sixty-one".