11221234320240 has 400 divisors, whose sum is σ = 45576417351168. Its totient is φ = 2505205366272.

The previous prime is 11221234320227. The next prime is 11221234320293. The reversal of 11221234320240 is 4202343212211.

11221234320240 is a `hidden beast` number, since 1 + 1 + 221 + 2 + 3 + 432 + 0 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 926052 + ... + 4827011.

Almost surely, 2^{11221234320240} is an apocalyptic number.

11221234320240 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 11221234320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22788208675584).

11221234320240 is an abundant number, since it is smaller than the sum of its proper divisors (34355183030928).

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

11221234320240 is a wasteful number, since it uses less digits than its factorization.

11221234320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753138 (or 5753123 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11221234320240 its reverse (4202343212211), we get a palindrome (15423577532451).

The spelling of 11221234320240 in words is "eleven trillion, two hundred twenty-one billion, two hundred thirty-four million, three hundred twenty thousand, two hundred forty".