Search a number
-
+
12221022002000 = 245374320300701
BaseRepresentation
bin1011000111010110110110…
…1011001101101101010000
31121021022121000222010201112
42301311231223031231100
53100212123113031000
641554132054352452
72400640214022050
oct261655553155520
947238530863645
1012221022002000
1139919a7356279
12145462365b728
136a858c0582a6
143037019bd560
15162d6bbdb235
hexb1d6dacdb50

12221022002000 has 160 divisors (see below), whose sum is σ = 34557316594944. Its totient is φ = 4092621120000.

The previous prime is 12221022001949. The next prime is 12221022002003. The reversal of 12221022002000 is 20022012221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221022002003) 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, 9548351 + ... + 10752350.

Almost surely, 212221022002000 is an apocalyptic number.

12221022002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221022002000 is an abundant number, since it is smaller than the sum of its proper divisors (22336294592944).

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

12221022002000 is a wasteful number, since it uses less digits than its factorization.

12221022002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20300774 (or 20300758 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12221022002000 its reverse (20022012221), we get a palindrome (12241044014221).

The spelling of 12221022002000 in words is "twelve trillion, two hundred twenty-one billion, twenty-two million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 43 50 56 70 80 86 100 112 125 140 172 175 200 215 250 280 301 344 350 400 430 500 560 602 688 700 860 875 1000 1075 1204 1400 1505 1720 1750 2000 2150 2408 2800 3010 3440 3500 4300 4816 5375 6020 7000 7525 8600 10750 12040 14000 15050 17200 21500 24080 30100 37625 43000 60200 75250 86000 120400 150500 301000 602000 20300701 40601402 81202804 101503505 142104907 162405608 203007010 284209814 324811216 406014020 507517525 568419628 710524535 812028040 872930143 1015035050 1136839256 1421049070 1624056080 1745860286 2030070100 2273678512 2537587625 2842098140 3491720572 3552622675 4060140200 4364650715 5075175250 5684196280 6110511001 6983441144 7105245350 8120280400 8729301430 10150350500 11368392560 12221022002 13966882288 14210490700 17458602860 17763113375 20300701000 21823253575 24442044004 28420981400 30552555005 34917205720 35526226750 40601402000 43646507150 48884088008 56841962800 61105110010 69834411440 71052453500 87293014300 97768176016 109116267875 122210220020 142104907000 152762775025 174586028600 218232535750 244420440040 284209814000 305525550050 349172057200 436465071500 488840880080 611051100100 763813875125 872930143000 1222102200200 1527627750250 1745860286000 2444204400400 3055255500500 6110511001000 12221022002000