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12332123011 = 136168322769
BaseRepresentation
bin10110111110000110…
…10100001110000011
31011211110001202110201
423133003110032003
5200224010414021
65355412110031
7614413213255
oct133703241603
934743052421
1012332123011
1152591865aa
122482005317
131216bcba10
1484db93cd5
154c29c7591
hex2df0d4383

12332123011 has 16 divisors (see below), whose sum is σ = 13518822240. Its totient is φ = 11179998720.

The previous prime is 12332122981. The next prime is 12332123021. The reversal of 12332123011 is 11032123321.

12332123011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12332123011 - 217 = 12331991939 is a prime.

It is a super-2 number, since 2×123321230112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12332123011.

It is not an unprimeable number, because it can be changed into a prime (12332123021) 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 15 ways as a sum of consecutive naturals, for example, 530235 + ... + 553003.

It is an arithmetic number, because the mean of its divisors is an integer number (844926390).

Almost surely, 212332123011 is an apocalyptic number.

12332123011 is a deficient number, since it is larger than the sum of its proper divisors (1186699229).

12332123011 is a wasteful number, since it uses less digits than its factorization.

12332123011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23526.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12332123011 its reverse (11032123321), we get a palindrome (23364246332).

The spelling of 12332123011 in words is "twelve billion, three hundred thirty-two million, one hundred twenty-three thousand, eleven".

Divisors: 1 13 61 683 793 8879 22769 41663 295997 541619 1388909 15551227 18055817 202165951 948624847 12332123011