Search a number
-
+
12211442502400 = 285217112237523
BaseRepresentation
bin1011000110110011001010…
…1100010100101100000000
31121020101212102110010201001
42301230302230110230000
53100033013240034100
641545505332421344
72400150633433561
oct261546254245400
947211772403631
1012211442502400
113988930a39459
1214527ab477854
136a76c350952b
1430307363a168
151629aabe0d6a
hexb1b32b14b00

12211442502400 has 108 divisors (see below), whose sum is σ = 32003183118312. Its totient is φ = 4597248901120.

The previous prime is 12211442502359. The next prime is 12211442502421. The reversal of 12211442502400 is 420524411221.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56009962 + ... + 56227561.

It is an arithmetic number, because the mean of its divisors is an integer number (296325769614).

Almost surely, 212211442502400 is an apocalyptic number.

12211442502400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211442502400 is an abundant number, since it is smaller than the sum of its proper divisors (19791740615912).

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

12211442502400 is a wasteful number, since it uses less digits than its factorization.

12211442502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112237566 (or 112237547 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 12211442502400 its reverse (420524411221), we get a palindrome (12631966913621).

The spelling of 12211442502400 in words is "twelve trillion, two hundred eleven billion, four hundred forty-two million, five hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 256 272 320 340 400 425 544 640 680 800 850 1088 1280 1360 1600 1700 2176 2720 3200 3400 4352 5440 6400 6800 10880 13600 21760 27200 54400 108800 112237523 224475046 448950092 561187615 897900184 1122375230 1795800368 1908037891 2244750460 2805938075 3591600736 3816075782 4489500920 5611876150 7183201472 7632151564 8979001840 9540189455 11223752300 14366402944 15264303128 17958003680 19080378910 22447504600 28732805888 30528606256 35916007360 38160757820 44895009200 47700947275 61057212512 71832014720 76321515640 89790018400 95401894550 122114425024 143664029440 152643031280 179580036800 190803789100 244228850048 305286062560 359160073600 381607578200 488457700096 610572125120 718320147200 763215156400 1221144250240 1526430312800 2442288500480 3052860625600 6105721251200 12211442502400