12011100221120 has 896 divisors, whose sum is σ = 38822644224000. Its totient is φ = 3418103808000.

The previous prime is 12011100221119. The next prime is 12011100221161. The reversal of 12011100221120 is 2112200111021.

12011100221120 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 12011100221095 and 12011100221104.

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, 17134236770 + ... + 17134237470.

It is an arithmetic number, because the mean of its divisors is an integer number (43328844000).

Almost surely, 2^{12011100221120} is an apocalyptic number.

12011100221120 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 12011100221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19411322112000).

12011100221120 is an abundant number, since it is smaller than the sum of its proper divisors (26811544002880).

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

12011100221120 is a wasteful number, since it uses less digits than its factorization.

12011100221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1247 counting only the distinct ones).

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

Adding to 12011100221120 its reverse (2112200111021), we get a palindrome (14123300332141).

The spelling of 12011100221120 in words is "twelve trillion, eleven billion, one hundred million, two hundred twenty-one thousand, one hundred twenty".