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12114400123 = 77972730133
BaseRepresentation
bin10110100100001001…
…10001001101111011
31011021021101021211001
423102010301031323
5144302241300443
65322033345431
7606130462540
oct132204611573
934237337731
1012114400123
115157299131
122421108277
1311b0a7a8c7
1482ccbabc7
154ad81bd4d
hex2d213137b

12114400123 has 16 divisors (see below), whose sum is σ = 14040033280. Its totient is φ = 10237889376.

The previous prime is 12114400097. The next prime is 12114400139. The reversal of 12114400123 is 32100441121.

12114400123 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 12114400123 - 25 = 12114400091 is a prime.

It is a super-3 number, since 3×121144001233 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12114400123.

It is not an unprimeable number, because it can be changed into a prime (12114400183) 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, 386965 + ... + 417097.

It is an arithmetic number, because the mean of its divisors is an integer number (877502080).

Almost surely, 212114400123 is an apocalyptic number.

12114400123 is a deficient number, since it is larger than the sum of its proper divisors (1925633157).

12114400123 is an equidigital number, since it uses as much as digits as its factorization.

12114400123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30946.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 12114400123 its reverse (32100441121), we get a palindrome (44214841244).

The spelling of 12114400123 in words is "twelve billion, one hundred fourteen million, four hundred thousand, one hundred twenty-three".

Divisors: 1 7 79 553 727 5089 30133 57433 210931 402031 2380507 16663549 21906691 153346837 1730628589 12114400123