Search a number
-
+
12122011999973 is a prime number
BaseRepresentation
bin1011000001100110000000…
…1110000001111011100101
31120220212000212011220101102
42300121200032001323211
53042101340032444343
641440435254405445
72360533520626031
oct260314016017345
946825025156342
1012122011999973
113953a09832317
1214393b1360885
1369c140693285
142dc9cc2251c1
151604c48593b8
hexb0660381ee5

12122011999973 has 2 divisors, whose sum is σ = 12122011999974. Its totient is φ = 12122011999972.

The previous prime is 12122011999969. The next prime is 12122012000083. The reversal of 12122011999973 is 37999911022121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11998416160129 + 123595839844 = 3463873^2 + 351562^2 .

It is a cyclic number.

It is not a de Polignac number, because 12122011999973 - 22 = 12122011999969 is a prime.

It is a super-2 number, since 2×121220119999732 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12122011990973) 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, 6061005999986 + 6061005999987.

It is an arithmetic number, because the mean of its divisors is an integer number (6061005999987).

Almost surely, 212122011999973 is an apocalyptic number.

It is an amenable number.

12122011999973 is a deficient number, since it is larger than the sum of its proper divisors (1).

12122011999973 is an equidigital number, since it uses as much as digits as its factorization.

12122011999973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1102248, while the sum is 56.

The spelling of 12122011999973 in words is "twelve trillion, one hundred twenty-two billion, eleven million, nine hundred ninety-nine thousand, nine hundred seventy-three".