122112202220333 has 8 divisors (see below), whose sum is σ = 131699695893528. Its totient is φ = 112552458168384.

The previous prime is 122112202220311. The next prime is 122112202220357. The reversal of 122112202220333 is 333022202211221.

It can be written as a sum of positive squares in 4 ways, for example, as 65926653747529 + 56185548472804 = 8119523^2 + 7495702^2 .

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

It is not a de Polignac number, because 122112202220333 - 2¹² = 122112202216237 is a prime.

It is a super-4 number, since 4×122112202220333⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112202220363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6937396166 + ... + 6937413767.

It is an arithmetic number, because the mean of its divisors is an integer number (16462461986691).

Almost surely, 2^{122112202220333} is an apocalyptic number.

122112202220333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122112202220333 is a deficient number, since it is larger than the sum of its proper divisors (9587493673195).

122112202220333 is a wasteful number, since it uses less digits than its factorization.

122112202220333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13874810623.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 122112202220333 its reverse (333022202211221), we get a palindrome (455134404431554).

The spelling of 122112202220333 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred two million, two hundred twenty thousand, three hundred thirty-three".