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12033021221 = 132118160289
BaseRepresentation
bin10110011010011100…
…10101010100100101
31011001121020210221122
423031032111110211
5144120423134341
65310005223325
7604121664344
oct131516252445
934047223848
1012033021221
115115365a41
1223b9a01b45
131199c56a00
14822175b5b
154a65e494b
hex2cd395525

12033021221 has 12 divisors (see below), whose sum is σ = 13041088740. Its totient is φ = 11097815040.

The previous prime is 12033021139. The next prime is 12033021239. The reversal of 12033021221 is 12212033021.

12033021221 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 6 ways, for example, as 2757405121 + 9275616100 = 52511^2 + 96310^2 .

It is a de Polignac number, because none of the positive numbers 2k-12033021221 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 12033021221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033021281) 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 11 ways as a sum of consecutive naturals, for example, 169445 + ... + 229733.

It is an arithmetic number, because the mean of its divisors is an integer number (1086757395).

Almost surely, 212033021221 is an apocalyptic number.

It is an amenable number.

12033021221 is a deficient number, since it is larger than the sum of its proper divisors (1008067519).

12033021221 is a wasteful number, since it uses less digits than its factorization.

12033021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61496 (or 61483 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12033021221 its reverse (12212033021), we get a palindrome (24245054242).

The spelling of 12033021221 in words is "twelve billion, thirty-three million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 13 169 1181 15353 60289 199589 783757 10188841 71201309 925617017 12033021221