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12129493 is a prime number
BaseRepresentation
bin101110010001…
…010011010101
3211211020112111
4232101103111
511101120433
61111551021
7205045645
oct56212325
924736474
1012129493
116935082
12408b471
132688c1c
14187a525
1510e8dcd
hexb914d5

12129493 has 2 divisors, whose sum is σ = 12129494. Its totient is φ = 12129492.

The previous prime is 12129473. The next prime is 12129497. The reversal of 12129493 is 39492121.

12129493 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6848689 + 5280804 = 2617^2 + 2298^2 .

It is a cyclic number.

It is not a de Polignac number, because 12129493 - 213 = 12121301 is a prime.

It is a super-3 number, since 3×121294933 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12129497) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6064746 + 6064747.

It is an arithmetic number, because the mean of its divisors is an integer number (6064747).

Almost surely, 212129493 is an apocalyptic number.

It is an amenable number.

12129493 is a deficient number, since it is larger than the sum of its proper divisors (1).

12129493 is an equidigital number, since it uses as much as digits as its factorization.

12129493 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 31.

The square root of 12129493 is about 3482.7421667416. The cubic root of 12129493 is about 229.7634177261.

It can be divided in two parts, 121 and 29493, that multiplied together give a palindrome (3568653).

The spelling of 12129493 in words is "twelve million, one hundred twenty-nine thousand, four hundred ninety-three".