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12010010121 = 321334445569
BaseRepresentation
bin10110010111101101…
…00011011000001001
31010222222221201122200
423023312203120021
5144044030310441
65303424110413
7603422254524
oct131366433011
933888851580
1012010010121
1151033793aa
1223b2165409
13119525ab85
1481d0a5bbb
154a459b7b6
hex2cbda3609

12010010121 has 6 divisors (see below), whose sum is σ = 17347792410. Its totient is φ = 8006673408.

The previous prime is 12010010113. The next prime is 12010010137. The reversal of 12010010121 is 12101001021.

It is a happy number.

12010010121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8823972096 + 3186038025 = 93936^2 + 56445^2 .

It is not a de Polignac number, because 12010010121 - 23 = 12010010113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1334445569 = 12010010121 / (1 + 2 + 0 + 1 + 0 + 0 + 1 + 0 + 1 + 2 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12010090121) 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 5 ways as a sum of consecutive naturals, for example, 667222776 + ... + 667222793.

It is an arithmetic number, because the mean of its divisors is an integer number (2891298735).

Almost surely, 212010010121 is an apocalyptic number.

It is an amenable number.

12010010121 is a deficient number, since it is larger than the sum of its proper divisors (5337782289).

12010010121 is a wasteful number, since it uses less digits than its factorization.

12010010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334445575 (or 1334445572 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12010010121 its reverse (12101001021), we get a palindrome (24111011142).

The spelling of 12010010121 in words is "twelve billion, ten million, ten thousand, one hundred twenty-one".

Divisors: 1 3 9 1334445569 4003336707 12010010121