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12123123320113 = 1314232269288823
BaseRepresentation
bin1011000001101010001001…
…1101011000010100110001
31120220221220022022211000121
42300122202131120110301
53042111124032220423
641441141434050241
72360603203660321
oct260324235302461
946827808284017
1012123123320113
11395442a079613
121439661579981
1369c2899a8660
142dca95a6d281
1516053c1c945d
hexb06a2758531

12123123320113 has 16 divisors (see below), whose sum is σ = 13070649249280. Its totient is φ = 11177744122944.

The previous prime is 12123123320069. The next prime is 12123123320123. The reversal of 12123123320113 is 31102332132121.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12123123320113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12123123320123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41829820 + ... + 42118642.

It is an arithmetic number, because the mean of its divisors is an integer number (816915578080).

Almost surely, 212123123320113 is an apocalyptic number.

12123123320113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12123123320113 is a deficient number, since it is larger than the sum of its proper divisors (947525929167).

12123123320113 is a wasteful number, since it uses less digits than its factorization.

12123123320113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292528.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 12123123320113 its reverse (31102332132121), we get a palindrome (43225455452234).

The spelling of 12123123320113 in words is "twelve trillion, one hundred twenty-three billion, one hundred twenty-three million, three hundred twenty thousand, one hundred thirteen".

Divisors: 1 13 1423 2269 18499 29497 288823 3228787 3754699 41974231 410995129 655339387 5342936677 8519412031 932547947701 12123123320113