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12222110000020 = 2251759997611111
BaseRepresentation
bin1011000111011010111010…
…0001100110001110010100
31121021102101212020011102111
42301312232201212032110
53100221340130000040
641554432042120404
72401006164606664
oct261665641461624
947242355204374
1012222110000020
113992405513298
121454887ab0104
136a87035960bb
143037a62b61a4
15162dd24a0dea
hexb1dae866394

12222110000020 has 96 divisors (see below), whose sum is σ = 27664600239360. Its totient is φ = 4518733117440.

The previous prime is 12222109999991. The next prime is 12222110000027. The reversal of 12222110000020 is 2000001122221.

It is a happy number.

12222110000020 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 (12222110000027) 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, 19694265 + ... + 20305375.

It is an arithmetic number, because the mean of its divisors is an integer number (288172919160).

Almost surely, 212222110000020 is an apocalyptic number.

12222110000020 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 12222110000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13832300119680).

12222110000020 is an abundant number, since it is smaller than the sum of its proper divisors (15442490239340).

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

12222110000020 is a wasteful number, since it uses less digits than its factorization.

12222110000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612193 (or 612191 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 12222110000020 its reverse (2000001122221), we get a palindrome (14222111122241).

The spelling of 12222110000020 in words is "twelve trillion, two hundred twenty-two billion, one hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 590 997 1003 1180 1994 2006 3988 4012 4985 5015 9970 10030 16949 19940 20060 33898 58823 67796 84745 117646 169490 235292 294115 338980 588230 611111 999991 1176460 1222222 1999982 2444444 3055555 3999964 4999955 6111110 9999910 10388887 12222220 19999820 20777774 36055549 41555548 51944435 72111098 103888870 144222196 180277745 207777740 360555490 609277667 612944333 721110980 1218555334 1225888666 2437110668 2451777332 3046388335 3064721665 6092776670 6129443330 10357720339 12185553340 12258886660 20715440678 35947382353 41430881356 51788601695 71894764706 103577203390 143789529412 179736911765 207154406780 359473823530 611105500001 718947647060 1222211000002 2444422000004 3055527500005 6111055000010 12222110000020