11001221211120 has 160 divisors (see below), whose sum is σ = 38989310238720. Its totient is φ = 2513690327040.

The previous prime is 11001221211061. The next prime is 11001221211137. The reversal of 11001221211120 is 2111212210011.

It is a happy number.

It is a super-2 number, since 2×11001221211120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11001221211120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3699460 + ... + 5973980.

It is an arithmetic number, because the mean of its divisors is an integer number (243683188992).

Almost surely, 2^{11001221211120} is an apocalyptic number.

11001221211120 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 11001221211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19494655119360).

11001221211120 is an abundant number, since it is smaller than the sum of its proper divisors (27988089027600).

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

11001221211120 is a wasteful number, since it uses less digits than its factorization.

11001221211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277423 (or 2277417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11001221211120 its reverse (2111212210011), we get a palindrome (13112433421131).

The spelling of 11001221211120 in words is "eleven trillion, one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".