112112201201121 has 96 divisors (see below), whose sum is σ = 185485248000000. Its totient is φ = 64628622057600.

The previous prime is 112112201201113. The next prime is 112112201201123. The reversal of 112112201201121 is 121102102211211.

It is a happy number.

112112201201121 is a `hidden beast` number, since 1 + 1 + 211 + 220 + 120 + 112 + 1 = 666.

It is not a de Polignac number, because 112112201201121 - 2³ = 112112201201113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112112201201094 and 112112201201103.

It is not an unprimeable number, because it can be changed into a prime (112112201201123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1040923330 + ... + 1041031028.

It is an arithmetic number, because the mean of its divisors is an integer number (1932138000000).

Almost surely, 2^{112112201201121} is an apocalyptic number.

112112201201121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112112201201121 is a deficient number, since it is larger than the sum of its proper divisors (73373046798879).

112112201201121 is a wasteful number, since it uses less digits than its factorization.

112112201201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113555 (or 113552 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112112201201121 its reverse (121102102211211), we get a palindrome (233214303412332).

The spelling of 112112201201121 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred one million, two hundred one thousand, one hundred twenty-one".