112200120111001 has 32 divisors (see below), whose sum is σ = 128496964359456. Its totient is φ = 97051779072000.

The previous prime is 112200120110977. The next prime is 112200120111011. The reversal of 112200120111001 is 100111021002211.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 10525164551001 + 101674955560000 = 3244251^2 + 10083400^2 .

It is a cyclic number.

It is not a de Polignac number, because 112200120111001 - 2⁷ = 112200120110873 is a prime.

It is a super-2 number, since 2×112200120111001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112200120111011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251222071 + ... + 251668291.

It is an arithmetic number, because the mean of its divisors is an integer number (4015530136233).

Almost surely, 2^{112200120111001} is an apocalyptic number.

It is an amenable number.

112200120111001 is a deficient number, since it is larger than the sum of its proper divisors (16296844248455).

112200120111001 is a wasteful number, since it uses less digits than its factorization.

112200120111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451213.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 112200120111001 its reverse (100111021002211), we get a palindrome (212311141113212).

The spelling of 112200120111001 in words is "one hundred twelve trillion, two hundred billion, one hundred twenty million, one hundred eleven thousand, one".