11220112121120 has 192 divisors, whose sum is σ = 32080727185920. Its totient is φ = 3620110221312.

The previous prime is 11220112121089. The next prime is 11220112121123. The reversal of 11220112121120 is 2112121102211.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (11220112121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153940046 + ... + 154012914.

It is an arithmetic number, because the mean of its divisors is an integer number (167087120760).

Almost surely, 2^{11220112121120} is an apocalyptic number.

11220112121120 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 11220112121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16040363592960).

11220112121120 is an abundant number, since it is smaller than the sum of its proper divisors (20860615064800).

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

11220112121120 is a wasteful number, since it uses less digits than its factorization.

11220112121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80995 (or 80987 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11220112121120 its reverse (2112121102211), we get a palindrome (13332233223331).

The spelling of 11220112121120 in words is "eleven trillion, two hundred twenty billion, one hundred twelve million, one hundred twenty-one thousand, one hundred twenty".