11112011100120 has 512 divisors, whose sum is σ = 40574177280000. Its totient is φ = 2378134702080.

The previous prime is 11112011100119. The next prime is 11112011100149. The reversal of 11112011100120 is 2100111021111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11112011100096 and 11112011100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 470856081 + ... + 470879679.

It is an arithmetic number, because the mean of its divisors is an integer number (79246440000).

Almost surely, 2^{11112011100120} is an apocalyptic number.

11112011100120 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 11112011100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20287088640000).

11112011100120 is an abundant number, since it is smaller than the sum of its proper divisors (29462166179880).

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

11112011100120 is a wasteful number, since it uses less digits than its factorization.

11112011100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23983 (or 23979 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11112011100120 its reverse (2100111021111), we get a palindrome (13212122121231).

The spelling of 11112011100120 in words is "eleven trillion, one hundred twelve billion, eleven million, one hundred thousand, one hundred twenty".