122121323030033 has 8 divisors (see below), whose sum is σ = 125422549402920. Its totient is φ = 118820130871680.

The previous prime is 122121323029957. The next prime is 122121323030197. The reversal of 122121323030033 is 330030323121221.

It can be written as a sum of positive squares in 4 ways, for example, as 61730830468609 + 60390492561424 = 7856897^2 + 7771132^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 122121323030033 - 2¹⁸ = 122121322767889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122121323029984 and 122121323030011.

It is not an unprimeable number, because it can be changed into a prime (122121323030233) 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 7 ways as a sum of consecutive naturals, for example, 1235078 + ... + 15676991.

It is an arithmetic number, because the mean of its divisors is an integer number (15677818675365).

Almost surely, 2^{122121323030033} is an apocalyptic number.

It is an amenable number.

122121323030033 is a deficient number, since it is larger than the sum of its proper divisors (3301226372887).

122121323030033 is a wasteful number, since it uses less digits than its factorization.

122121323030033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17107267.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 122121323030033 its reverse (330030323121221), we get a palindrome (452151646151254).

The spelling of 122121323030033 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, three hundred twenty-three million, thirty thousand, thirty-three".