11112301122120 has 768 divisors, whose sum is σ = 41879254210560. Its totient is φ = 2529792000000.

The previous prime is 11112301122107. The next prime is 11112301122137. The reversal of 11112301122120 is 2122110321111.

It is a happy number.

11112301122120 is a `hidden beast` number, since 1 + 111 + 230 + 112 + 212 + 0 = 666.

It is a super-2 number, since 2×11112301122120² (a number of 27 digits) contains 22 as substring.

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 = 11112301122093 and 11112301122102.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1821387070 + ... + 1821393170.

It is an arithmetic number, because the mean of its divisors is an integer number (54530278920).

Almost surely, 2^{11112301122120} is an apocalyptic number.

11112301122120 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 11112301122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20939627105280).

11112301122120 is an abundant number, since it is smaller than the sum of its proper divisors (30766953088440).

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

11112301122120 is a wasteful number, since it uses less digits than its factorization.

11112301122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11112301122120 its reverse (2122110321111), we get a palindrome (13234411443231).

The spelling of 11112301122120 in words is "eleven trillion, one hundred twelve billion, three hundred one million, one hundred twenty-two thousand, one hundred twenty".