11012133312120 has 128 divisors (see below), whose sum is σ = 33166705824000. Its totient is φ = 2924994186240.

The previous prime is 11012133312109. The next prime is 11012133312223. The reversal of 11012133312120 is 2121333121011.

11012133312120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 89600071 + ... + 89722889.

It is an arithmetic number, because the mean of its divisors is an integer number (259114889250).

Almost surely, 2^{11012133312120} is an apocalyptic number.

11012133312120 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 11012133312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16583352912000).

11012133312120 is an abundant number, since it is smaller than the sum of its proper divisors (22154572511880).

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

11012133312120 is a wasteful number, since it uses less digits than its factorization.

11012133312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125773 (or 125769 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11012133312120 its reverse (2121333121011), we get a palindrome (13133466433131).

The spelling of 11012133312120 in words is "eleven trillion, twelve billion, one hundred thirty-three million, three hundred twelve thousand, one hundred twenty".