112220012121120 has 144 divisors (see below), whose sum is σ = 383013879138072. Its totient is φ = 29920406630400.

The previous prime is 112220012121089. The next prime is 112220012121167. The reversal of 112220012121120 is 21121210022211.

112220012121120 is a `hidden beast` number, since 112 + 2 + 200 + 121 + 211 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103648444300944 + 8571567820176 = 10180788^2 + 2927724^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×112220012121120² (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 = 112220012121093 and 112220012121102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2328970 + ... + 15161270.

Almost surely, 2^{112220012121120} is an apocalyptic number.

112220012121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112220012121120 is an abundant number, since it is smaller than the sum of its proper divisors (270793867016952).

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

112220012121120 is a wasteful number, since it uses less digits than its factorization.

112220012121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12838395 (or 12838384 counting only the distinct ones).

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

Adding to 112220012121120 its reverse (21121210022211), we get a palindrome (133341222143331).

The spelling of 112220012121120 in words is "one hundred twelve trillion, two hundred twenty billion, twelve million, one hundred twenty-one thousand, one hundred twenty".