11212211120440 has 256 divisors, whose sum is σ = 29056890240000. Its totient is φ = 3850928640000.

The previous prime is 11212211120423. The next prime is 11212211120443. The reversal of 11212211120440 is 4402111221211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212211120443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6514938780 + ... + 6514940500.

It is an arithmetic number, because the mean of its divisors is an integer number (113503477500).

Almost surely, 2^{11212211120440} is an apocalyptic number.

11212211120440 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 11212211120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14528445120000).

11212211120440 is an abundant number, since it is smaller than the sum of its proper divisors (17844679119560).

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

11212211120440 is a wasteful number, since it uses less digits than its factorization.

11212211120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3662 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 11212211120440 its reverse (4402111221211), we get a palindrome (15614322341651).

The spelling of 11212211120440 in words is "eleven trillion, two hundred twelve billion, two hundred eleven million, one hundred twenty thousand, four hundred forty".