111212122200120 has 768 divisors, whose sum is σ = 396130176000000. Its totient is φ = 26966707163136.

The previous prime is 111212122200119. The next prime is 111212122200143. The reversal of 111212122200120 is 21002221212111.

111212122200120 is a `hidden beast` number, since 1 + 11 + 212 + 122 + 200 + 120 = 666.

111212122200120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111212122200120² (a number of 29 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 = 111212122200093 and 111212122200102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3784126386 + ... + 3784155774.

It is an arithmetic number, because the mean of its divisors is an integer number (515794500000).

Almost surely, 2^{111212122200120} is an apocalyptic number.

111212122200120 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 111212122200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198065088000000).

111212122200120 is an abundant number, since it is smaller than the sum of its proper divisors (284918053799880).

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

111212122200120 is a wasteful number, since it uses less digits than its factorization.

111212122200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29700 (or 29693 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111212122200120 its reverse (21002221212111), we get a palindrome (132214343412231).

The spelling of 111212122200120 in words is "one hundred eleven trillion, two hundred twelve billion, one hundred twenty-two million, two hundred thousand, one hundred twenty".