112102221201120 has 480 divisors, whose sum is σ = 413042570740800. Its totient is φ = 28579370434560.

The previous prime is 112102221201083. The next prime is 112102221201127. The reversal of 112102221201120 is 21102122201211.

112102221201120 is a `hidden beast` number, since 1 + 1 + 210 + 222 + 120 + 112 + 0 = 666.

112102221201120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 112102221201093 and 112102221201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102221201127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 580861440 + ... + 581054400.

It is an arithmetic number, because the mean of its divisors is an integer number (860505355710).

Almost surely, 2^{112102221201120} is an apocalyptic number.

112102221201120 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 112102221201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206521285370400).

112102221201120 is an abundant number, since it is smaller than the sum of its proper divisors (300940349539680).

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

112102221201120 is a wasteful number, since it uses less digits than its factorization.

112102221201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194960 (or 194943 counting only the distinct ones).

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

Adding to 112102221201120 its reverse (21102122201211), we get a palindrome (133204343402331).

The spelling of 112102221201120 in words is "one hundred twelve trillion, one hundred two billion, two hundred twenty-one million, two hundred one thousand, one hundred twenty".