11202112120120 has 256 divisors, whose sum is σ = 26943350112000. Its totient is φ = 4184727945216.

The previous prime is 11202112120099. The next prime is 11202112120187. The reversal of 11202112120120 is 2102121120211.

It is a junction number, because it is equal to n+sod(n) for n = 11202112120094 and 11202112120103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1604194149 + ... + 1604201131.

It is an arithmetic number, because the mean of its divisors is an integer number (105247461375).

Almost surely, 2^{11202112120120} is an apocalyptic number.

11202112120120 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 11202112120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471675056000).

11202112120120 is an abundant number, since it is smaller than the sum of its proper divisors (15741237991880).

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

11202112120120 is a wasteful number, since it uses less digits than its factorization.

11202112120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7442 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11202112120120 its reverse (2102121120211), we get a palindrome (13304233240331).

Subtracting from 11202112120120 its reverse (2102121120211), we obtain a palindrome (9099990999909).

The spelling of 11202112120120 in words is "eleven trillion, two hundred two billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty".