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12220020002000 = 245317721949787
BaseRepresentation
bin1011000111010011000111…
…1100111000110011010000
31121021020000012112021010102
42301310301330320303100
53100203100110031000
641553444422151532
72400603326121206
oct261646174706320
947236005467112
1012220020002000
1139915327968a8
1214543a3b825a8
136a845c59a995
143036488b1076
15162d0dc623d5
hexb1d31f38cd0

12220020002000 has 160 divisors (see below), whose sum is σ = 31291088849280. Its totient is φ = 4599748454400.

The previous prime is 12220020001993. The next prime is 12220020002009. The reversal of 12220020002000 is 20002002221.

12220020002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12220020002009) 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, 245421107 + ... + 245470893.

It is an arithmetic number, because the mean of its divisors is an integer number (195569305308).

Almost surely, 212220020002000 is an apocalyptic number.

12220020002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12220020002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15645544424640).

12220020002000 is an abundant number, since it is smaller than the sum of its proper divisors (19071068847280).

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

12220020002000 is a wasteful number, since it uses less digits than its factorization.

12220020002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57046 (or 57030 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 12220020002000 its reverse (20002002221), we get a palindrome (12240022004221).

The spelling of 12220020002000 in words is "twelve trillion, two hundred twenty billion, twenty million, two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 7219 8500 14438 17000 28876 34000 36095 49787 57752 72190 99574 115504 122723 144380 180475 199148 245446 248935 288760 360950 398296 490892 497870 577520 613615 721900 796592 846379 902375 981784 995740 1227230 1244675 1443800 1692758 1804750 1963568 1991480 2454460 2489350 2887600 3068075 3385516 3609500 3982960 4231895 4908920 4978700 6136150 6223375 6771032 7219000 8463790 9817840 9957400 12272300 12446750 13542064 14438000 15340375 16927580 19914800 21159475 24544600 24893500 30680750 33855160 42318950 49089200 49787000 61361500 67710320 84637900 99574000 105797375 122723000 169275800 211594750 245446000 338551600 359412353 423189500 718824706 846379000 1437649412 1692758000 1797061765 2875298824 3594123530 5750597648 6110010001 7188247060 8985308825 12220020002 14376494120 17970617650 24440040004 28752988240 30550050005 35941235300 44926544125 48880080008 61100100010 71882470600 89853088250 97760160016 122200200020 143764941200 152750250025 179706176500 244400400040 305500500050 359412353000 488800800080 611001000100 718824706000 763751250125 1222002000200 1527502500250 2444004000400 3055005000500 6110010001000 12220020002000