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12123213003 = 331127350833
BaseRepresentation
bin10110100101001100…
…11000110011001011
31011021212222000211000
423102212120303023
5144312020304003
65322550310043
7606265416216
oct132246306313
934255860730
1012123213003
115161268400
122424058323
1311b2845025
1483013277d
154ae4ad1a3
hex2d2998ccb

12123213003 has 48 divisors (see below), whose sum is σ = 20012329120. Its totient is φ = 7246609920.

The previous prime is 12123212993. The next prime is 12123213007. The reversal of 12123213003 is 30031232121.

12123213003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12123213003 - 24 = 12123212987 is a prime.

It is a super-2 number, since 2×121232130032 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12123213007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213075 + ... + 263907.

Almost surely, 212123213003 is an apocalyptic number.

12123213003 is a deficient number, since it is larger than the sum of its proper divisors (7889116117).

12123213003 is a wasteful number, since it uses less digits than its factorization.

12123213003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50937 (or 50920 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12123213003 its reverse (30031232121), we get a palindrome (42154445124).

It can be divided in two parts, 121 and 23213003, that added together give a square (23213124 = 48182).

The spelling of 12123213003 in words is "twelve billion, one hundred twenty-three million, two hundred thirteen thousand, three".

Divisors: 1 3 9 11 27 33 73 99 121 219 297 363 657 803 1089 1971 2409 3267 7227 8833 21681 26499 50833 79497 152499 238491 457497 559163 1372491 1677489 3710809 5032467 6150793 11132427 15097401 18452379 33397281 40818899 55357137 100191843 122456697 166071411 367370091 449007889 1102110273 1347023667 4041071001 12123213003