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12220220020000 = 25541135407177
BaseRepresentation
bin1011000111010011110111…
…0111111001010100100000
31121021020112010220020020111
42301310331313321110200
53100204002311120000
641553520325221104
72400611305212106
oct261647567712440
947236463806214
1012220220020000
113991625691333
12145443ab61794
136a8491b60225
14303667299c76
15162d215c1cba
hexb1d3ddf9520

12220220020000 has 120 divisors (see below), whose sum is σ = 30329629221276. Its totient is φ = 4844829696000.

The previous prime is 12220220019983. The next prime is 12220220020007. The reversal of 12220220020000 is 2002202221.

It can be written as a sum of positive squares in 10 ways, for example, as 7722240747664 + 4497979272336 = 2778892^2 + 2120844^2 .

It is not an unprimeable number, because it can be changed into a prime (12220220020007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 443589 + ... + 4963588.

Almost surely, 212220220020000 is an apocalyptic number.

12220220020000 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 12220220020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15164814610638).

12220220020000 is an abundant number, since it is smaller than the sum of its proper divisors (18109409201276).

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

12220220020000 is an equidigital number, since it uses as much as digits as its factorization.

12220220020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5407320 (or 5407297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 12220220020000 its reverse (2002202221), we get a palindrome (12222222222221).

The spelling of 12220220020000 in words is "twelve trillion, two hundred twenty billion, two hundred twenty million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 113 125 160 200 226 250 400 452 500 565 625 800 904 1000 1130 1250 1808 2000 2260 2500 2825 3616 4000 4520 5000 5650 9040 10000 11300 14125 18080 20000 22600 28250 45200 56500 70625 90400 113000 141250 226000 282500 452000 565000 1130000 2260000 5407177 10814354 21628708 27035885 43257416 54071770 86514832 108143540 135179425 173029664 216287080 270358850 432574160 540717700 611011001 675897125 865148320 1081435400 1222022002 1351794250 2162870800 2444044004 2703588500 3055055005 3379485625 4325741600 4888088008 5407177000 6110110010 6758971250 9776176016 10814354000 12220220020 13517942500 15275275025 19552352032 21628708000 24440440040 27035885000 30550550050 48880880080 54071770000 61101100100 76376375125 97761760160 108143540000 122202200200 152752750250 244404400400 305505500500 381881875625 488808800800 611011001000 763763751250 1222022002000 1527527502500 2444044004000 3055055005000 6110110010000 12220220020000