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12221110012301 = 174721971651961
BaseRepresentation
bin1011000111010111001011…
…1010111100100110001101
31121021022211011120112011022
42301311302322330212031
53100212313130343201
641554144521003525
72400642333056621
oct261656272744615
947238734515138
1012221110012301
113991a41aa8763
1214546490235a5
136a85a43616a8
1430370d56d181
15162d747c341b
hexb1d72ebc98d

12221110012301 has 24 divisors (see below), whose sum is σ = 13288296425976. Its totient is φ = 11200341662720.

The previous prime is 12221110012297. The next prime is 12221110012333. The reversal of 12221110012301 is 10321001112221.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8359609907401 + 3861500104900 = 2891299^2 + 1965070^2 .

It is not a de Polignac number, because 12221110012301 - 22 = 12221110012297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 12221110012301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221110014301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6571961 + ... + 8223921.

It is an arithmetic number, because the mean of its divisors is an integer number (553679017749).

Almost surely, 212221110012301 is an apocalyptic number.

It is an amenable number.

12221110012301 is a deficient number, since it is larger than the sum of its proper divisors (1067186413675).

12221110012301 is a wasteful number, since it uses less digits than its factorization.

12221110012301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652269 (or 1652222 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 12221110012301 its reverse (10321001112221), we get a palindrome (22542111124522).

The spelling of 12221110012301 in words is "twelve trillion, two hundred twenty-one billion, one hundred ten million, twelve thousand, three hundred one".

Divisors: 1 17 47 197 799 2209 3349 9259 37553 157403 435173 1651961 7397941 28083337 77642167 325436317 1319916839 3649181849 5532417389 15295506899 62036091433 260023617283 718888824253 12221110012301