Search a number
-
+
12123023222133 = 33701640514779
BaseRepresentation
bin1011000001101001110001…
…1111100010010101110101
31120220221122022222022102000
42300122130133202111311
53042110422421102013
641441123500405513
72360600550106425
oct260323437422565
946827568868360
1012123023222133
11395438862050a
121439633b46899
1369c27202c395
142dca86654485
15160533505973
hexb069c7e2575

12123023222133 has 16 divisors (see below), whose sum is σ = 17985655022400. Its totient is φ = 8070486202800.

The previous prime is 12123023222113. The next prime is 12123023222179. The reversal of 12123023222133 is 33122232032121.

12123023222133 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 302 + 3 + 222 + 133 = 666.

It is not a de Polignac number, because 12123023222133 - 26 = 12123023222069 is a prime.

It is a super-2 number, since 2×121230232221332 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12123023222097 and 12123023222106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123023222113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320238463 + ... + 320276316.

It is an arithmetic number, because the mean of its divisors is an integer number (1124103438900).

Almost surely, 212123023222133 is an apocalyptic number.

It is an amenable number.

12123023222133 is a deficient number, since it is larger than the sum of its proper divisors (5862631800267).

12123023222133 is an equidigital number, since it uses as much as digits as its factorization.

12123023222133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640515489 (or 640515483 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12123023222133 its reverse (33122232032121), we get a palindrome (45245255254254).

The spelling of 12123023222133 in words is "twelve trillion, one hundred twenty-three billion, twenty-three million, two hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 27 701 2103 6309 18927 640514779 1921544337 5764633011 17293899033 449000860079 1347002580237 4041007740711 12123023222133