111211212012120 has 576 divisors, whose sum is σ = 413608444572960. Its totient is φ = 25872272363520.

The previous prime is 111211212012091. The next prime is 111211212012151. The reversal of 111211212012120 is 21210212112111.

It is a happy number.

111211212012120 is a `hidden beast` number, since 11 + 121 + 121 + 201 + 212 + 0 = 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 = 111211212012093 and 111211212012102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 117182947 + ... + 118128173.

Almost surely, 2^{111211212012120} is an apocalyptic number.

111211212012120 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 111211212012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206804222286480).

111211212012120 is an abundant number, since it is smaller than the sum of its proper divisors (302397232560840).

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

111211212012120 is a wasteful number, since it uses less digits than its factorization.

111211212012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945376 (or 945358 counting only the distinct ones).

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

Adding to 111211212012120 its reverse (21210212112111), we get a palindrome (132421424124231).

Subtracting from 111211212012120 its reverse (21210212112111), we obtain a palindrome (90000999900009).

The spelling of 111211212012120 in words is "one hundred eleven trillion, two hundred eleven billion, two hundred twelve million, twelve thousand, one hundred twenty".