Search a number
-
+
12201012211220 = 22571716213162539
BaseRepresentation
bin1011000110001100010011…
…1111111010111000010100
31121012101221112000110001022
42301203010333322320110
53044400133111224340
641541022335220312
72366331312426440
oct261430477727024
947171845013038
1012201012211220
11398446934a2a8
12145077a377698
136a67206330c1
143027642a9820
1516259a1893b5
hexb18c4ffae14

12201012211220 has 96 divisors (see below), whose sum is σ = 31024061994240. Its totient is φ = 3934703278080.

The previous prime is 12201012211217. The next prime is 12201012211229. The reversal of 12201012211220 is 2211221010221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201012211229) 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 31 ways as a sum of consecutive naturals, for example, 2276711 + ... + 5439249.

It is an arithmetic number, because the mean of its divisors is an integer number (323167312440).

Almost surely, 212201012211220 is an apocalyptic number.

12201012211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12201012211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15512030997120).

12201012211220 is an abundant number, since it is smaller than the sum of its proper divisors (18823049783020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12201012211220 is a wasteful number, since it uses less digits than its factorization.

12201012211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164193 (or 3164191 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 12201012211220 its reverse (2211221010221), we get a palindrome (14412233221441).

The spelling of 12201012211220 in words is "twelve trillion, two hundred one billion, twelve million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 1621 2380 3242 6484 8105 11347 16210 22694 27557 32420 45388 55114 56735 110228 113470 137785 192899 226940 275570 385798 551140 771596 964495 1928990 3162539 3857980 6325078 12650156 15812695 22137773 31625390 44275546 53763163 63250780 88551092 107526326 110688865 215052652 221377730 268815815 376342141 442755460 537631630 752684282 1075263260 1505368564 1881710705 3763421410 5126475719 7526842820 10252951438 20505902876 25632378595 35885330033 51264757190 71770660066 87150087223 102529514380 143541320132 174300174446 179426650165 348600348892 358853300330 435750436115 610050610561 717706600660 871500872230 1220101221122 1743001744460 2440202442244 3050253052805 6100506105610 12201012211220