11001202200120 has 256 divisors, whose sum is σ = 36175584960000. Its totient is φ = 2654252697600.

The previous prime is 11001202200113. The next prime is 11001202200139. The reversal of 11001202200120 is 2100220210011.

11001202200120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11001202200096 and 11001202200105.

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, 973638231 + ... + 973649529.

It is an arithmetic number, because the mean of its divisors is an integer number (141310878750).

Almost surely, 2^{11001202200120} is an apocalyptic number.

11001202200120 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 11001202200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18087792480000).

11001202200120 is an abundant number, since it is smaller than the sum of its proper divisors (25174382759880).

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

11001202200120 is a wasteful number, since it uses less digits than its factorization.

11001202200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14774 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11001202200120 its reverse (2100220210011), we get a palindrome (13101422410131).

The spelling of 11001202200120 in words is "eleven trillion, one billion, two hundred two million, two hundred thousand, one hundred twenty".