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12122212220233 is a prime number
BaseRepresentation
bin1011000001100110110000…
…1001110011110101001001
31120220212112210221010221121
42300121230021303311021
53042102242312021413
641440511210035241
72360541501521413
oct260315411636511
946825483833847
1012122212220233
113954001855805
121439448418b21
1369c172cc68bb
142dca0aa639b3
151604d7208b8d
hexb066c273d49

12122212220233 has 2 divisors, whose sum is σ = 12122212220234. Its totient is φ = 12122212220232.

The previous prime is 12122212220201. The next prime is 12122212220243. The reversal of 12122212220233 is 33202221222121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10624750950969 + 1497461269264 = 3259563^2 + 1223708^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122212220233 - 25 = 12122212220201 is a prime.

It is a super-2 number, since 2×121222122202332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12122212220198 and 12122212220207.

It is not a weakly prime, because it can be changed into another prime (12122212220243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061106110116 + 6061106110117.

It is an arithmetic number, because the mean of its divisors is an integer number (6061106110117).

Almost surely, 212122212220233 is an apocalyptic number.

It is an amenable number.

12122212220233 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122212220233 is an equidigital number, since it uses as much as digits as its factorization.

12122212220233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 12122212220233 its reverse (33202221222121), we get a palindrome (45324433442354).

The spelling of 12122212220233 in words is "twelve trillion, one hundred twenty-two billion, two hundred twelve million, two hundred twenty thousand, two hundred thirty-three".