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12165456121 = 713133686331
BaseRepresentation
bin10110101010001111…
…00010000011111001
31011101211110012110221
423111013202003321
5144403324043441
65331055540041
7610320446050
oct132507420371
934354405427
1012165456121
1151830a0275
12243622a621
1311bb515860
148359ab397
154b30548d1
hex2d51e20f9

12165456121 has 8 divisors (see below), whose sum is σ = 14972869184. Its totient is φ = 9625415760.

The previous prime is 12165456109. The next prime is 12165456133.

12165456121 is nontrivially palindromic in base 10.

12165456121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12165456109) and next prime (12165456133).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12165456121 - 27 = 12165455993 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12165453121) 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 7 ways as a sum of consecutive naturals, for example, 66843075 + ... + 66843256.

It is an arithmetic number, because the mean of its divisors is an integer number (1871608648).

Almost surely, 212165456121 is an apocalyptic number.

It is an amenable number.

12165456121 is a deficient number, since it is larger than the sum of its proper divisors (2807413063).

12165456121 is a wasteful number, since it uses less digits than its factorization.

12165456121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133686351.

The product of its digits is 14400, while the sum is 34.

The spelling of 12165456121 in words is "twelve billion, one hundred sixty-five million, four hundred fifty-six thousand, one hundred twenty-one".

Divisors: 1 7 13 91 133686331 935804317 1737922303 12165456121