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12135447451 = 181541123931
BaseRepresentation
bin10110100110101010…
…00011101110011011
31011022201222121022201
423103111003232123
5144323133304301
65324104431031
7606504413161
oct132325035633
934281877281
1012135447451
115168164316
122428178477
1311b523994a
148319d9231
154b05c8201
hex2d3543b9b

12135447451 has 8 divisors (see below), whose sum is σ = 12225148208. Its totient is φ = 12045996000.

The previous prime is 12135447439. The next prime is 12135447463. The reversal of 12135447451 is 15474453121.

It is an interprime number because it is at equal distance from previous prime (12135447439) and next prime (12135447463).

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

It is a 6-Lehmer number, since φ(12135447451) divides (12135447451-1)6.

It is a cyclic number.

It is not a de Polignac number, because 12135447451 - 25 = 12135447419 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 12135447451.

It is not an unprimeable number, because it can be changed into a prime (12135447431) 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 7 ways as a sum of consecutive naturals, for example, 35956 + ... + 159886.

It is an arithmetic number, because the mean of its divisors is an integer number (1528143526).

Almost surely, 212135447451 is an apocalyptic number.

12135447451 is the 49266-th centered decagonal number.

12135447451 is a deficient number, since it is larger than the sum of its proper divisors (89700757).

12135447451 is a wasteful number, since it uses less digits than its factorization.

12135447451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124653.

The product of its digits is 67200, while the sum is 37.

The spelling of 12135447451 in words is "twelve billion, one hundred thirty-five million, four hundred forty-seven thousand, four hundred fifty-one".

Divisors: 1 181 541 97921 123931 22431511 67046671 12135447451