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12221021301201 = 3317671867212851
BaseRepresentation
bin1011000111010110110110…
…1000100010100111010001
31121021022120222122112102000
42301311231220202213101
53100212122423114301
641554132031344213
72400640205042646
oct261655550424721
947238528575360
1012221021301201
1139919a6a177a9
121454623382069
136a858bb7130b
14303701879dcd
15162d6baed786
hexb1d6da229d1

12221021301201 has 64 divisors (see below), whose sum is σ = 19466864962560. Its totient is φ = 7549561324800.

The previous prime is 12221021301191. The next prime is 12221021301233. The reversal of 12221021301201 is 10210312012221.

12221021301201 is a `hidden beast` number, since 122 + 21 + 0 + 21 + 301 + 201 = 666.

12221021301201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12221021301201 - 29 = 12221021300689 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12221021306201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57309426 + ... + 57522276.

It is an arithmetic number, because the mean of its divisors is an integer number (304169765040).

Almost surely, 212221021301201 is an apocalyptic number.

It is an amenable number.

12221021301201 is a deficient number, since it is larger than the sum of its proper divisors (7245843661359).

12221021301201 is a wasteful number, since it uses less digits than its factorization.

12221021301201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214811 (or 214805 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12221021301201 its reverse (10210312012221), we get a palindrome (22431333313422).

The spelling of 12221021301201 in words is "twelve trillion, two hundred twenty-one billion, twenty-one million, three hundred one thousand, two hundred one".

Divisors: 1 3 9 17 27 51 67 153 201 459 603 1139 1809 1867 3417 5601 10251 16803 30753 31739 50409 95217 125089 212851 285651 375267 638553 856953 1125801 1915659 2126513 3377403 3618467 5746977 6379539 10855401 14261017 19138617 32566203 42783051 57415851 97698609 128349153 242437289 385047459 397392817 727311867 1192178451 2181935601 3576535353 6545806803 6755677889 10729606059 20267033667 26625318739 60801101001 79875956217 182403303003 239627868651 452630418563 718883605953 1357891255689 4073673767067 12221021301201