Search a number
-
+
12200122012210 = 25112919919218541
BaseRepresentation
bin1011000110001000111111…
…1100000101001000110010
31121012022122110221122120121
42301202033330011020302
53044341322213342320
641540354135200454
72366300253031156
oct261421774051062
947168573848517
1012200122012210
113984051901640
12145057021612a
136a660b08b822
143026bbd81066
15162546e468aa
hexb188ff05232

12200122012210 has 64 divisors (see below), whose sum is σ = 24907230432000. Its totient is φ = 4261903430400.

The previous prime is 12200122012189. The next prime is 12200122012213. The reversal of 12200122012210 is 1221022100221.

It is a happy number.

It is a super-2 number, since 2×122001220122102 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12200122012213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8974461 + ... + 10244080.

It is an arithmetic number, because the mean of its divisors is an integer number (389175475500).

Almost surely, 212200122012210 is an apocalyptic number.

12200122012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12200122012210 is an abundant number, since it is smaller than the sum of its proper divisors (12707108419790).

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

12200122012210 is a wasteful number, since it uses less digits than its factorization.

12200122012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19218787.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12200122012210 its reverse (1221022100221), we get a palindrome (13421144112431).

The spelling of 12200122012210 in words is "twelve trillion, two hundred billion, one hundred twenty-two million, twelve thousand, two hundred ten".

Divisors: 1 2 5 10 11 22 29 55 58 110 145 199 290 319 398 638 995 1595 1990 2189 3190 4378 5771 10945 11542 21890 28855 57710 63481 126962 317405 634810 19218541 38437082 96092705 192185410 211403951 422807902 557337689 1057019755 1114675378 2114039510 2786688445 3824489659 5573376890 6130714579 7648979318 12261429158 19122448295 30653572895 38244896590 42069386249 61307145790 84138772498 110910200111 210346931245 221820400222 420693862490 554551000555 1109102001110 1220012201221 2440024402442 6100061006105 12200122012210