111121222101120 has 2304 divisors, whose sum is σ = 508378318156800. Its totient is φ = 22934596608000.

The previous prime is 111121222101091. The next prime is 111121222101137. The reversal of 111121222101120 is 21101222121111.

It is a happy number.

111121222101120 is a `hidden beast` number, since 1 + 111 + 212 + 221 + 0 + 1 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111121222101093 and 111121222101102.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12657612891 + ... + 12657621669.

It is an arithmetic number, because the mean of its divisors is an integer number (220650311700).

Almost surely, 2^{111121222101120} is an apocalyptic number.

111121222101120 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 111121222101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254189159078400).

111121222101120 is an abundant number, since it is smaller than the sum of its proper divisors (397257096055680).

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

111121222101120 is a wasteful number, since it uses less digits than its factorization.

111121222101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8989 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111121222101120 its reverse (21101222121111), we get a palindrome (132222444222231).

The spelling of 111121222101120 in words is "one hundred eleven trillion, one hundred twenty-one billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty".