11101120001220 has 192 divisors, whose sum is σ = 32281829620992. Its totient is φ = 2848358400000.

The previous prime is 11101120001183. The next prime is 11101120001227. The reversal of 11101120001220 is 2210002110111.

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 = 11101120001196 and 11101120001205.

It is not an unprimeable number, because it can be changed into a prime (11101120001227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63767295 + ... + 63941145.

It is an arithmetic number, because the mean of its divisors is an integer number (168134529276).

Almost surely, 2^{11101120001220} is an apocalyptic number.

11101120001220 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 11101120001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16140914810496).

11101120001220 is an abundant number, since it is smaller than the sum of its proper divisors (21180709619772).

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

11101120001220 is a wasteful number, since it uses less digits than its factorization.

11101120001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174262 (or 174260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11101120001220 its reverse (2210002110111), we get a palindrome (13311122111331).

The spelling of 11101120001220 in words is "eleven trillion, one hundred one billion, one hundred twenty million, one thousand, two hundred twenty".