1211335040 has 64 divisors (see below), whose sum is σ = 2905580160. Its totient is φ = 482906112.

The previous prime is 1211335033. The next prime is 1211335049. The reversal of 1211335040 is 405331121.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211335049) 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, 197297 + ... + 203343.

It is an arithmetic number, because the mean of its divisors is an integer number (45399690).

Almost surely, 2^1211335040 is an apocalyptic number.

1211335040 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 1211335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452790080).

1211335040 is an abundant number, since it is smaller than the sum of its proper divisors (1694245120).

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

1211335040 is an equidigital number, since it uses as much as digits as its factorization.

1211335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1211335040 is about 34804.2388223044. The cubic root of 1211335040 is about 1065.9939994992.

Adding to 1211335040 its reverse (405331121), we get a palindrome (1616666161).

The spelling of 1211335040 in words is "one billion, two hundred eleven million, three hundred thirty-five thousand, forty".