1211268240 has 720 divisors, whose sum is σ = 5402779200. Its totient is φ = 240371712.

The previous prime is 1211268209. The next prime is 1211268257. The reversal of 1211268240 is 428621121.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8714091 + ... + 8714229.

It is an arithmetic number, because the mean of its divisors is an integer number (7503860).

Almost surely, 2^1211268240 is an apocalyptic number.

1211268240 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 1211268240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701389600).

1211268240 is an abundant number, since it is smaller than the sum of its proper divisors (4191510960).

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

1211268240 is a wasteful number, since it uses less digits than its factorization.

1211268240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1211268240 is about 34803.2791558497. The cubic root of 1211268240 is about 1065.9744041201.

Adding to 1211268240 its reverse (428621121), we get a palindrome (1639889361).

The spelling of 1211268240 in words is "one billion, two hundred eleven million, two hundred sixty-eight thousand, two hundred forty".