112112123201 has 16 divisors (see below), whose sum is σ = 121871238720. Its totient is φ = 102515595840.

The previous prime is 112112123147. The next prime is 112112123203. The reversal of 112112123201 is 102321211211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 112112123201 - 2³⁴ = 94932254017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112112123201.

It is not an unprimeable number, because it can be changed into a prime (112112123203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11959046 + ... + 11968416.

It is an arithmetic number, because the mean of its divisors is an integer number (7616952420).

Almost surely, 2^112112123201 is an apocalyptic number.

It is an amenable number.

112112123201 is a deficient number, since it is larger than the sum of its proper divisors (9759115519).

112112123201 is a wasteful number, since it uses less digits than its factorization.

112112123201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17936.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 112112123201 its reverse (102321211211), we get a palindrome (214433334412).

The spelling of 112112123201 in words is "one hundred twelve billion, one hundred twelve million, one hundred twenty-three thousand, two hundred one".