1265642112 has 128 divisors (see below), whose sum is σ = 4068282240. Its totient is φ = 340328448.

The previous prime is 1265642111. The next prime is 1265642123. The reversal of 1265642112 is 2112465621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1265642112.

It is not an unprimeable number, because it can be changed into a prime (1265642111) 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 15 ways as a sum of consecutive naturals, for example, 31848 + ... + 59544.

It is an arithmetic number, because the mean of its divisors is an integer number (31783455).

Almost surely, 2^1265642112 is an apocalyptic number.

1265642112 is a gapful number since it is divisible by the number (12) 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 1265642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034141120).

1265642112 is an abundant number, since it is smaller than the sum of its proper divisors (2802640128).

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

1265642112 is a wasteful number, since it uses less digits than its factorization.

1265642112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27738 (or 27726 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 1265642112 is about 35575.8641778383. The cubic root of 1265642112 is about 1081.6920527258.

The spelling of 1265642112 in words is "one billion, two hundred sixty-five million, six hundred forty-two thousand, one hundred twelve".