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12221545868811 = 348912971307107
BaseRepresentation
bin1011000111011000110011…
…1001100110111000001011
31121021100221112201022220000
42301312030321212320023
53100214211220300221
641554300050534043
72400656204561406
oct261661471467013
947240845638800
1012221545868811
113992146034154
12145474ab97323
136a8643748856
143037513c8d3d
15162d9cbbae26
hexb1d8ce66e0b

12221545868811 has 40 divisors (see below), whose sum is σ = 18476259143760. Its totient is φ = 8049932554752.

The previous prime is 12221545868789. The next prime is 12221545868821. The reversal of 12221545868811 is 11886854512221.

It is a happy number.

12221545868811 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 54 + 586 + 8 + 8 + 1 + 1 = 666.

It is not a de Polignac number, because 12221545868811 - 29 = 12221545868299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12221545868821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8696520 + ... + 10003626.

It is an arithmetic number, because the mean of its divisors is an integer number (461906478594).

Almost surely, 212221545868811 is an apocalyptic number.

12221545868811 is a deficient number, since it is larger than the sum of its proper divisors (6254713274949).

12221545868811 is a wasteful number, since it uses less digits than its factorization.

12221545868811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308505 (or 1308496 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 54.

The spelling of 12221545868811 in words is "twelve trillion, two hundred twenty-one billion, five hundred forty-five million, eight hundred sixty-eight thousand, eight hundred eleven".

Divisors: 1 3 9 27 81 89 267 801 1297 2403 3891 7209 11673 35019 105057 115433 346299 1038897 1307107 3116691 3921321 9350073 11763963 35291889 105875667 116332523 348997569 1046992707 1695317779 3140978121 5085953337 9422934363 15257860011 45773580033 137320740099 150883282331 452649846993 1357949540979 4073848622937 12221545868811