122120200033 has 8 divisors (see below), whose sum is σ = 132351732968. Its totient is φ = 112008334464.

The previous prime is 122120199989. The next prime is 122120200087. The reversal of 122120200033 is 330002021221.

It can be written as a sum of positive squares in 4 ways, for example, as 5184 + 122120194849 = 72^2 + 349457^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122120200033 - 2²¹ = 122118102881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122120200933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29914716 + ... + 29918797.

It is an arithmetic number, because the mean of its divisors is an integer number (16543966621).

Almost surely, 2^122120200033 is an apocalyptic number.

122120200033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122120200033 is a deficient number, since it is larger than the sum of its proper divisors (10231532935).

122120200033 is a wasteful number, since it uses less digits than its factorization.

122120200033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59833683.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 122120200033 its reverse (330002021221), we get a palindrome (452122221254).

The spelling of 122120200033 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred thousand, thirty-three".