Search a number
-
+
1212122221011 = 3313196711812297
BaseRepresentation
bin10001101000111000000…
…111010100100111010011
311021212200212210202001000
4101220320013110213103
5124324411242033021
62324501413513043
7153400342611162
oct21507007244723
94255625722030
101212122221011
11428070437169
12176b01342783
138a3c1b73350
144294a47d3d9
15217e404eb26
hex11a381d49d3

1212122221011 has 128 divisors (see below), whose sum is σ = 2068685337600. Its totient is φ = 695222922240.

The previous prime is 1212122220979. The next prime is 1212122221019. The reversal of 1212122221011 is 1101222212121.

It is not a de Polignac number, because 1212122221011 - 25 = 1212122220979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1212122221019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 527696815 + ... + 527699111.

It is an arithmetic number, because the mean of its divisors is an integer number (16161604200).

Almost surely, 21212122221011 is an apocalyptic number.

1212122221011 is a deficient number, since it is larger than the sum of its proper divisors (856563116589).

1212122221011 is a wasteful number, since it uses less digits than its factorization.

1212122221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3580 counting only the distinct ones).

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

Adding to 1212122221011 its reverse (1101222212121), we get a palindrome (2313344433132).

The spelling of 1212122221011 in words is "one trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 9 13 19 27 39 57 67 117 171 201 247 351 513 603 741 871 1181 1273 1809 2223 2297 2613 3543 3819 6669 6891 7839 10629 11457 15353 16549 20673 22439 23517 29861 31887 34371 43643 46059 49647 62019 67317 79127 89583 130929 138177 148941 153899 201951 237381 268749 291707 392787 414531 446823 461697 567359 605853 712143 806247 875121 1028651 1178361 1385091 1503413 1702077 2000687 2136429 2625363 2712757 2924081 3085953 4155273 4510239 5106231 6002061 7876089 8138271 8772243 9257859 13530717 15318693 18006183 19544369 24414813 26316729 27773577 35265841 38013053 40592151 51542383 54018549 58633107 73244439 78950187 105797523 114039159 154627149 175899321 181754719 317392569 342117477 463881447 527697963 545264157 670050979 952177707 1026352431 1391644341 1635792471 2010152937 2362811347 3453339661 4907377413 6030458811 7088434041 10360018983 18091376433 21265302123 31080056949 44893415593 63795906369 93240170847 134680246779 404040740337 1212122221011