112002222033 has 48 divisors (see below), whose sum is σ = 178745430864. Its totient is φ = 67141509120.

The previous prime is 112002222011. The next prime is 112002222041. The reversal of 112002222033 is 330222200211.

It can be written as a sum of positive squares in 8 ways, for example, as 24759966609 + 87242255424 = 157353^2 + 295368^2 .

It is not a de Polignac number, because 112002222033 - 2⁵ = 112002222001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112002221997 and 112002222015.

It is not an unprimeable number, because it can be changed into a prime (112002222043) 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 in 47 ways as a sum of consecutive naturals, for example, 3211035 + ... + 3245727.

It is an arithmetic number, because the mean of its divisors is an integer number (3723863143).

Almost surely, 2^112002222033 is an apocalyptic number.

112002222033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112002222033 is a deficient number, since it is larger than the sum of its proper divisors (66743208831).

112002222033 is a wasteful number, since it uses less digits than its factorization.

112002222033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35426 (or 35423 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 112002222033 its reverse (330222200211), we get a palindrome (442224422244).

The spelling of 112002222033 in words is "one hundred twelve billion, two million, two hundred twenty-two thousand, thirty-three".