112010112221220 has 180 divisors, whose sum is σ = 373265123574420. Its totient is φ = 28112341773312.

The previous prime is 112010112221201. The next prime is 112010112221239. The reversal of 112010112221220 is 22122211010211.

112010112221220 is a `hidden beast` number, since 1 + 120 + 101 + 1 + 2 + 221 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (112010112221201) and next prime (112010112221239).

It can be written as a sum of positive squares in 6 ways, for example, as 1517050402596 + 110493061818624 = 1231686^2 + 10511568^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 112010112221193 and 112010112221202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 119154735 + ... + 120091094.

It is an arithmetic number, because the mean of its divisors is an integer number (2073695130969).

Almost surely, 2^{112010112221220} is an apocalyptic number.

112010112221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112010112221220 is an abundant number, since it is smaller than the sum of its proper divisors (261255011353200).

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

112010112221220 is a wasteful number, since it uses less digits than its factorization.

112010112221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239245884 (or 239245856 counting only the distinct ones).

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

Adding to 112010112221220 its reverse (22122211010211), we get a palindrome (134132323231431).

The spelling of 112010112221220 in words is "one hundred twelve trillion, ten billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty".