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12020144404221 = 321335571600469
BaseRepresentation
bin1010111011101010100001…
…1011111111011011111101
31120120010002112022212101200
42232322220123333123331
53033414223431413341
641321551134330113
72350266245431662
oct256725033773375
946503075285350
1012020144404221
113914795173958
121421702059939
13692657c873b5
142d7ac7133a69
1515ca116b2db6
hexaeea86ff6fd

12020144404221 has 6 divisors (see below), whose sum is σ = 17362430806110. Its totient is φ = 8013429602808.

The previous prime is 12020144404199. The next prime is 12020144404243. The reversal of 12020144404221 is 12240444102021.

12020144404221 is a `hidden beast` number, since 1 + 2 + 0 + 20 + 14 + 4 + 404 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (12020144404199) and next prime (12020144404243).

It can be written as a sum of positive squares in only one way, i.e., 8408666052900 + 3611478351321 = 2899770^2 + 1900389^2 .

It is not a de Polignac number, because 12020144404221 - 25 = 12020144404189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12020144404621) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 667785800226 + ... + 667785800243.

It is an arithmetic number, because the mean of its divisors is an integer number (2893738467685).

Almost surely, 212020144404221 is an apocalyptic number.

It is an amenable number.

12020144404221 is a deficient number, since it is larger than the sum of its proper divisors (5342286401889).

12020144404221 is a wasteful number, since it uses less digits than its factorization.

12020144404221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335571600475 (or 1335571600472 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 12020144404221 its reverse (12240444102021), we get a palindrome (24260588506242).

The spelling of 12020144404221 in words is "twelve trillion, twenty billion, one hundred forty-four million, four hundred four thousand, two hundred twenty-one".

Divisors: 1 3 9 1335571600469 4006714801407 12020144404221