112100221212120 has 192 divisors, whose sum is σ = 365398151302080. Its totient is φ = 29805416644608.

The previous prime is 112100221212071. The next prime is 112100221212167. The reversal of 112100221212120 is 21212122001211.

112100221212120 is a `hidden beast` number, since 1 + 1 + 210 + 0 + 221 + 21 + 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 = 112100221212093 and 112100221212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1283845584 + ... + 1283932896.

It is an arithmetic number, because the mean of its divisors is an integer number (1903115371365).

Almost surely, 2^{112100221212120} is an apocalyptic number.

112100221212120 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 112100221212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182699075651040).

112100221212120 is an abundant number, since it is smaller than the sum of its proper divisors (253297930089960).

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

112100221212120 is a wasteful number, since it uses less digits than its factorization.

112100221212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97786 (or 97779 counting only the distinct ones).

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

Adding to 112100221212120 its reverse (21212122001211), we get a palindrome (133312343213331).

The spelling of 112100221212120 in words is "one hundred twelve trillion, one hundred billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twenty".