11201121001220 has 96 divisors (see below), whose sum is σ = 25008149537280. Its totient is φ = 4199613972480.

The previous prime is 11201121001219. The next prime is 11201121001247. The reversal of 11201121001220 is 2210012110211.

It is a super-2 number, since 2×11201121001220² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11201121001195 and 11201121001204.

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, 237605492 + ... + 237652628.

It is an arithmetic number, because the mean of its divisors is an integer number (260501557680).

Almost surely, 2^{11201121001220} is an apocalyptic number.

11201121001220 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 11201121001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12504074768640).

11201121001220 is an abundant number, since it is smaller than the sum of its proper divisors (13807028536060).

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

11201121001220 is a wasteful number, since it uses less digits than its factorization.

11201121001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50013 (or 50011 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11201121001220 its reverse (2210012110211), we get a palindrome (13411133111431).

The spelling of 11201121001220 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, one thousand, two hundred twenty".