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12204044040221 = 112831712126953
BaseRepresentation
bin1011000110010111100110…
…1101011011100000011101
31121012200202210221022120022
42301211321231123200131
53044422340233241341
641542243242001525
72366466405516155
oct261457155334035
947180683838508
1012204044040221
11398578477a300
1214512857a62a5
136a6ab47acc67
14302970bd9765
151626c6418e4b
hexb1979b5b81d

12204044040221 has 12 divisors (see below), whose sum is σ = 13415976448476. Its totient is φ = 11093250611520.

The previous prime is 12204044040187. The next prime is 12204044040257.

It is a happy number.

12204044040221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 11498677540900 + 705366499321 = 3390970^2 + 839861^2 .

It is not a de Polignac number, because 12204044040221 - 214 = 12204044023837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204044040821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5057120 + ... + 7069833.

It is an arithmetic number, because the mean of its divisors is an integer number (1117998037373).

Almost surely, 212204044040221 is an apocalyptic number.

12204044040221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12204044040221 is a deficient number, since it is larger than the sum of its proper divisors (1211932408255).

12204044040221 is a wasteful number, since it uses less digits than its factorization.

12204044040221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12135292 (or 12135281 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 1220404 and 4040221, that added together give a palindrome (5260625).

The spelling of 12204044040221 in words is "twelve trillion, two hundred four billion, forty-four million, forty thousand, two hundred twenty-one".

Divisors: 1 11 121 8317 91487 1006357 12126953 133396483 1467361313 100859868101 1109458549111 12204044040221