1265104000 has 128 divisors (see below), whose sum is σ = 3231886320. Its totient is φ = 492134400.

The previous prime is 1265103997. The next prime is 1265104007. The reversal of 1265104000 is 4015621.

It can be written as a sum of positive squares in 8 ways, for example, as 18731584 + 1246372416 = 4328^2 + 35304^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1265104007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590932 + ... + 593068.

Almost surely, 2^1265104000 is an apocalyptic number.

1265104000 is a gapful number since it is divisible by the number (10) 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 1265104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615943160).

1265104000 is an abundant number, since it is smaller than the sum of its proper divisors (1966782320).

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

1265104000 is an equidigital number, since it uses as much as digits as its factorization.

1265104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1265104000 is about 35568.3004935575. The cubic root of 1265104000 is about 1081.5387302921.

Adding to 1265104000 its reverse (4015621), we get a palindrome (1269119621).

The spelling of 1265104000 in words is "one billion, two hundred sixty-five million, one hundred four thousand".