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12122210202233 is a prime number
BaseRepresentation
bin1011000001100110110000…
…0010000111001001111001
31120220212112200010121202212
42300121230002013021321
53042102241302432413
641440511054504505
72360541445415135
oct260315402071171
946825480117685
1012122210202233
1139540006a763a
121439447805135
1369c17276b211
142dca0a69a3c5
151604d6e5aca8
hexb066c087279

12122210202233 has 2 divisors, whose sum is σ = 12122210202234. Its totient is φ = 12122210202232.

The previous prime is 12122210202169. The next prime is 12122210202251. The reversal of 12122210202233 is 33220201222121.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10008289033744 + 2113921168489 = 3163588^2 + 1453933^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122210202233 - 26 = 12122210202169 is a prime.

It is a super-3 number, since 3×121222102022333 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122210202199 and 12122210202208.

It is not a weakly prime, because it can be changed into another prime (12122210202253) 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 as a sum of consecutive naturals, namely, 6061105101116 + 6061105101117.

It is an arithmetic number, because the mean of its divisors is an integer number (6061105101117).

Almost surely, 212122210202233 is an apocalyptic number.

It is an amenable number.

12122210202233 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122210202233 is an equidigital number, since it uses as much as digits as its factorization.

12122210202233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12122210202233 its reverse (33220201222121), we get a palindrome (45342411424354).

The spelling of 12122210202233 in words is "twelve trillion, one hundred twenty-two billion, two hundred ten million, two hundred two thousand, two hundred thirty-three".