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12323101121 = 314350318379
BaseRepresentation
bin10110111101000001…
…11001100111000001
31011210211002101202122
423132200321213001
5200214203213441
65354450454025
7614243426342
oct133640714701
934724071678
1012323101121
1152540842a1
12247ab94315
131215090416
1484c8c60c9
154c1ce434b
hex2de8399c1

12323101121 has 16 divisors (see below), whose sum is σ = 13043036160. Its totient is φ = 11624452560.

The previous prime is 12323101097. The next prime is 12323101223. The reversal of 12323101121 is 12110132321.

12323101121 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 a de Polignac number, because none of the positive numbers 2k-12323101121 is a prime.

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 12323101121.

It is not an unprimeable number, because it can be changed into a prime (12323109121) 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, 661310 + ... + 679688.

It is an arithmetic number, because the mean of its divisors is an integer number (815189760).

Almost surely, 212323101121 is an apocalyptic number.

It is an amenable number.

12323101121 is a deficient number, since it is larger than the sum of its proper divisors (719935039).

12323101121 is a wasteful number, since it uses less digits than its factorization.

12323101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18956.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12323101121 its reverse (12110132321), we get a palindrome (24433233442).

The spelling of 12323101121 in words is "twelve billion, three hundred twenty-three million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 31 43 503 1333 15593 18379 21629 569749 670499 790297 9244637 24499207 286583747 397519391 12323101121