112121122007 has 2 divisors, whose sum is σ = 112121122008. Its totient is φ = 112121122006.

The previous prime is 112121121991. The next prime is 112121122021. The reversal of 112121122007 is 700221121211.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 112121122007 - 2⁴ = 112121121991 is a prime.

It is a super-3 number, since 3×112121122007³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 112121122007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112121122097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56060561003 + 56060561004.

It is an arithmetic number, because the mean of its divisors is an integer number (56060561004).

Almost surely, 2^112121122007 is an apocalyptic number.

112121122007 is a deficient number, since it is larger than the sum of its proper divisors (1).

112121122007 is an equidigital number, since it uses as much as digits as its factorization.

112121122007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 112121122007 its reverse (700221121211), we get a palindrome (812342243218).

The spelling of 112121122007 in words is "one hundred twelve billion, one hundred twenty-one million, one hundred twenty-two thousand, seven".