Search a number
-
+
12202201212120 = 2332556416008687
BaseRepresentation
bin1011000110010000101111…
…0111100110010011011000
31121012112000101022221122200
42301210023313212103120
53044410102002241440
641541340331450200
72366402630654403
oct261441367462330
947175011287580
1012202201212120
113984a19523277
121450a505b6960
136a687ca7602a
14302838174d3a
15162619750c30
hexb190bde64d8

12202201212120 has 96 divisors (see below), whose sum is σ = 39664190704320. Its totient is φ = 3253342947840.

The previous prime is 12202201212031. The next prime is 12202201212121. The reversal of 12202201212120 is 2121210220221.

It is a happy number.

12202201212120 is a `hidden beast` number, since 1 + 220 + 220 + 1 + 212 + 12 + 0 = 666.

12202201212120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12202201212093 and 12202201212102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202201212121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 973584 + ... + 5035103.

It is an arithmetic number, because the mean of its divisors is an integer number (413168653170).

Almost surely, 212202201212120 is an apocalyptic number.

12202201212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202201212120 is an abundant number, since it is smaller than the sum of its proper divisors (27461989492200).

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

12202201212120 is a wasteful number, since it uses less digits than its factorization.

12202201212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6014345 (or 6014338 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12202201212120 its reverse (2121210220221), we get a palindrome (14323411432341).

The spelling of 12202201212120 in words is "twelve trillion, two hundred two billion, two hundred one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5641 11282 16923 22564 28205 33846 45128 50769 56410 67692 84615 101538 112820 135384 169230 203076 225640 253845 338460 406152 507690 676920 1015380 2030760 6008687 12017374 18026061 24034748 30043435 36052122 48069496 54078183 60086870 72104244 90130305 108156366 120173740 144208488 180260610 216312732 240347480 270390915 360521220 432625464 540781830 721042440 1081563660 2163127320 33895003367 67790006734 101685010101 135580013468 169475016835 203370020202 271160026936 305055030303 338950033670 406740040404 508425050505 610110060606 677900067340 813480080808 1016850101010 1220220121212 1355800134680 1525275151515 2033700202020 2440440242424 3050550303030 4067400404040 6101100606060 12202201212120