11112112212120 has 448 divisors, whose sum is σ = 37721511072000. Its totient is φ = 2944677576960.

The previous prime is 11112112212101. The next prime is 11112112212121. The reversal of 11112112212120 is 2121221121111.

It is a happy number.

11112112212120 is a `hidden beast` number, since 1 + 111 + 211 + 221 + 2 + 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 = 11112112212093 and 11112112212102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112112212121) 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 111 ways as a sum of consecutive naturals, for example, 6540383031 + ... + 6540384729.

It is an arithmetic number, because the mean of its divisors is an integer number (84199801500).

Almost surely, 2^{11112112212120} is an apocalyptic number.

11112112212120 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 11112112212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18860755536000).

11112112212120 is an abundant number, since it is smaller than the sum of its proper divisors (26609398859880).

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

11112112212120 is a wasteful number, since it uses less digits than its factorization.

11112112212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2983 counting only the distinct ones).

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

Adding to 11112112212120 its reverse (2121221121111), we get a palindrome (13233333333231).

The spelling of 11112112212120 in words is "eleven trillion, one hundred twelve billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty".