Search a number
-
+
1212112221201 = 327431015877547
BaseRepresentation
bin10001101000110111100…
…001001011010000010001
311021212200011222200212200
4101220313201023100101
5124324401212034301
62324500415313413
7153400161612210
oct21506741132021
94255604880780
101212112221201
11428065827162
12176ab9b1b869
138a3bca818bb
1442948dd9077
15217e3226c86
hex11a3784b411

1212112221201 has 96 divisors (see below), whose sum is σ = 2071549928448. Its totient is φ = 668599747200.

The previous prime is 1212112221137. The next prime is 1212112221209. The reversal of 1212112221201 is 1021222112121.

It is not a de Polignac number, because 1212112221201 - 26 = 1212112221137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1212112221209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 160604710 + ... + 160612256.

It is an arithmetic number, because the mean of its divisors is an integer number (21578645088).

Almost surely, 21212112221201 is an apocalyptic number.

It is an amenable number.

1212112221201 is a deficient number, since it is larger than the sum of its proper divisors (859437707247).

1212112221201 is a wasteful number, since it uses less digits than its factorization.

1212112221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8288 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1212112221201 its reverse (1021222112121), we get a palindrome (2233334333322).

The spelling of 1212112221201 in words is "one trillion, two hundred twelve billion, one hundred twelve million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 7 9 21 43 63 101 129 301 303 387 587 707 903 909 1761 2121 2709 4109 4343 5283 6363 7547 12327 13029 22641 25241 30401 36981 39087 52829 59287 67923 75723 91203 158487 176687 177861 227169 273609 324521 415009 475461 530061 533583 762247 973563 1245027 1590183 2271647 2286741 2549341 2920689 3735081 4430089 5335729 6814941 6860223 7648023 13290267 16007187 17845387 20444823 22944069 31010623 32776621 39870801 48021561 53536161 93031869 98329863 160608483 190493827 229436347 279095607 294989589 447438989 571481481 688309041 1333456789 1342316967 1714444443 2064927123 3132072923 4000370367 4026950901 9396218769 12001111101 19239876527 28188656307 57719629581 134679135689 173158888743 404037407067 1212112221201