Search a number
-
+
12200220200124 = 22331117604090919
BaseRepresentation
bin1011000110001001010111…
…0010101000110010111100
31121012022220022201010002000
42301202111302220302330
53044342022332400444
641540412003502300
72366302554435255
oct261422562506274
947168808633060
1012200220200124
1139840a2275680
121450599087990
136a6625519598
143026cb01db2c
1516255088e469
hexb1895ca8cbc

12200220200124 has 96 divisors (see below), whose sum is σ = 36535418841600. Its totient is φ = 3479563687680.

The previous prime is 12200220200123. The next prime is 12200220200159. The reversal of 12200220200124 is 42100202200221.

12200220200124 is a `hidden beast` number, since 1 + 220 + 0 + 220 + 200 + 1 + 24 = 666.

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 = 12200220200097 and 12200220200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200220200123) 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, 302025264 + ... + 302065655.

It is an arithmetic number, because the mean of its divisors is an integer number (380577279600).

Almost surely, 212200220200124 is an apocalyptic number.

It is an amenable number.

12200220200124 is an abundant number, since it is smaller than the sum of its proper divisors (24335198641476).

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

12200220200124 is a wasteful number, since it uses less digits than its factorization.

12200220200124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604090960 (or 604090952 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12200220200124 its reverse (42100202200221), we get a palindrome (54300422400345).

The spelling of 12200220200124 in words is "twelve trillion, two hundred billion, two hundred twenty million, two hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 748 918 1122 1188 1683 1836 2244 3366 5049 6732 10098 20196 604090919 1208181838 1812272757 2416363676 3624545514 5436818271 6645000109 7249091028 10269545623 10873636542 13290000218 16310454813 19935000327 20539091246 21747273084 26580000436 30808636869 32620909626 39870000654 41078182492 59805000981 61617273738 65241819252 79740001308 92425910607 112965001853 119610001962 123234547476 179415002943 184851821214 225930003706 239220003924 277277731821 338895005559 358830005886 369703642428 451860007412 554555463642 677790011118 717660011772 1016685016677 1109110927284 1355580022236 2033370033354 3050055050031 4066740066708 6100110100062 12200220200124