1311225040 has 40 divisors (see below), whose sum is σ = 3052438560. Its totient is φ = 523829376.

The previous prime is 1311225031. The next prime is 1311225043. The reversal of 1311225040 is 405221131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1311225040² = 3438622211046003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311224999 and 1311225017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311225043) 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, 56251 + ... + 76069.

It is an arithmetic number, because the mean of its divisors is an integer number (76310964).

Almost surely, 2^1311225040 is an apocalyptic number.

1311225040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311225040 is an abundant number, since it is smaller than the sum of its proper divisors (1741213520).

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

1311225040 is a wasteful number, since it uses less digits than its factorization.

1311225040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20659 (or 20653 counting only the distinct ones).

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

The square root of 1311225040 is about 36210.8414704768. The cubic root of 1311225040 is about 1094.5251487370.

Adding to 1311225040 its reverse (405221131), we get a palindrome (1716446171).

The spelling of 1311225040 in words is "one billion, three hundred eleven million, two hundred twenty-five thousand, forty".