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12200112221010 = 235737242436649
BaseRepresentation
bin1011000110001000111101…
…0110101110101101010010
31121012022121210112012120120
42301202033112232231102
53044341312212033020
641540353145251110
72366300103561330
oct261421726565522
947168553465516
1012200112221010
11398404732433a
121450568a93a96
136a660904100c
143026ba952b50
15162546160740
hexb188f5aeb52

12200112221010 has 96 divisors (see below), whose sum is σ = 34392019132800. Its totient is φ = 2713229526528.

The previous prime is 12200112220931. The next prime is 12200112221023. The reversal of 12200112221010 is 1012221100221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20930835 + ... + 21505814.

It is an arithmetic number, because the mean of its divisors is an integer number (358250199300).

Almost surely, 212200112221010 is an apocalyptic number.

12200112221010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12200112221010 is an abundant number, since it is smaller than the sum of its proper divisors (22191906911790).

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

12200112221010 is a wasteful number, since it uses less digits than its factorization.

12200112221010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42436740 (or 42436703 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12200112221010 its reverse (1012221100221), we get a palindrome (13212333321231).

The spelling of 12200112221010 in words is "twelve trillion, two hundred billion, one hundred twelve million, two hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 370 518 555 777 1110 1295 1369 1554 2590 2738 3885 4107 6845 7770 8214 9583 13690 19166 20535 28749 41070 47915 57498 95830 143745 287490 42436649 84873298 127309947 212183245 254619894 297056543 424366490 594113086 636549735 891169629 1273099470 1485282715 1570156013 1782339258 2970565430 3140312026 4455848145 4710468039 7850780065 8911696290 9420936078 10991092091 15701560130 21982184182 23552340195 32973276273 47104680390 54955460455 58095772481 65946552546 109910920910 116191544962 164866381365 174287317443 290478862405 329732762730 348574634886 406670407367 580957724810 813340814734 871436587215 1220011222101 1742873174430 2033352036835 2440022444202 4066704073670 6100056110505 12200112221010