1288211040 has 288 divisors, whose sum is σ = 4829479200. Its totient is φ = 323149824.

The previous prime is 1288211033. The next prime is 1288211047. The reversal of 1288211040 is 401128821.

It is an interprime number because it is at equal distance from previous prime (1288211033) and next prime (1288211047).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1288210995 and 1288211013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288211047) 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 47 ways as a sum of consecutive naturals, for example, 659986 + ... + 661934.

It is an arithmetic number, because the mean of its divisors is an integer number (16769025).

Almost surely, 2^1288211040 is an apocalyptic number.

1288211040 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 1288211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414739600).

1288211040 is an abundant number, since it is smaller than the sum of its proper divisors (3541268160).

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

1288211040 is a wasteful number, since it uses less digits than its factorization.

1288211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1288211040 is about 35891.6569692735. The cubic root of 1288211040 is about 1088.0837864396.

Adding to 1288211040 its reverse (401128821), we get a palindrome (1689339861).

The spelling of 1288211040 in words is "one billion, two hundred eighty-eight million, two hundred eleven thousand, forty".