11012022012120 has 128 divisors (see below), whose sum is σ = 34114846464000. Its totient is φ = 2840720394240.

The previous prime is 11012022012113. The next prime is 11012022012133. The reversal of 11012022012120 is 2121022021011.

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 11012022012120.

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, 9138171 + ... + 10272789.

It is an arithmetic number, because the mean of its divisors is an integer number (266522238000).

Almost surely, 2^{11012022012120} is an apocalyptic number.

11012022012120 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 11012022012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17057423232000).

11012022012120 is an abundant number, since it is smaller than the sum of its proper divisors (23102824451880).

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

11012022012120 is a wasteful number, since it uses less digits than its factorization.

11012022012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137273 (or 1137269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11012022012120 its reverse (2121022021011), we get a palindrome (13133044033131).

The spelling of 11012022012120 in words is "eleven trillion, twelve billion, twenty-two million, twelve thousand, one hundred twenty".