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12212121022033 is a prime number
BaseRepresentation
bin1011000110110101101100…
…1000101010111001010001
31121020110121201012111122211
42301231123020222321101
53100040410440201113
641550100531432121
72400203512652122
oct261553310527121
947213551174584
1012212121022033
113989149a47289
12145295a755641
136a77a0c6773a
143030d97c2049
151629ea56db3d
hexb1b5b22ae51

12212121022033 has 2 divisors, whose sum is σ = 12212121022034. Its totient is φ = 12212121022032.

The previous prime is 12212121021979. The next prime is 12212121022051. The reversal of 12212121022033 is 33022012121221.

12212121022033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6940105510464 + 5272015511569 = 2634408^2 + 2296087^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12212121022033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12212121021995 and 12212121022013.

It is not a weakly prime, because it can be changed into another prime (12212121062033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6106060511016 + 6106060511017.

It is an arithmetic number, because the mean of its divisors is an integer number (6106060511017).

Almost surely, 212212121022033 is an apocalyptic number.

It is an amenable number.

12212121022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12212121022033 is an equidigital number, since it uses as much as digits as its factorization.

12212121022033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12212121022033 its reverse (33022012121221), we get a palindrome (45234133143254).

The spelling of 12212121022033 in words is "twelve trillion, two hundred twelve billion, one hundred twenty-one million, twenty-two thousand, thirty-three".