112012222111020 has 576 divisors, whose sum is σ = 424677736304640. Its totient is φ = 23216657011200.

The previous prime is 112012222110967. The next prime is 112012222111079. The reversal of 112012222111020 is 20111222210211.

112012222111020 is a `hidden beast` number, since 1 + 1 + 201 + 222 + 211 + 10 + 20 = 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 = 112012222110984 and 112012222111002.

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, 12321216675 + ... + 12321225765.

It is an arithmetic number, because the mean of its divisors is an integer number (737287736640).

Almost surely, 2^{112012222111020} is an apocalyptic number.

112012222111020 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 112012222111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212338868152320).

112012222111020 is an abundant number, since it is smaller than the sum of its proper divisors (312665514193620).

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

112012222111020 is a wasteful number, since it uses less digits than its factorization.

112012222111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11266 (or 11261 counting only the distinct ones).

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

Adding to 112012222111020 its reverse (20111222210211), we get a palindrome (132123444321231).

The spelling of 112012222111020 in words is "one hundred twelve trillion, twelve billion, two hundred twenty-two million, one hundred eleven thousand, twenty".