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12220233202000 = 245318113373891
BaseRepresentation
bin1011000111010011111010…
…1010001011100101010000
31121021020120001200221112201
42301310332222023211100
53100204014144431000
641553521515532544
72400611525233435
oct261647652134520
947236501627481
1012220233202000
11399163207514a
12145444345a154
136a84947c7225
14303668d2bb8c
15162d2282796a
hexb1d3ea8b950

12220233202000 has 80 divisors (see below), whose sum is σ = 29564848782144. Its totient is φ = 4885392720000.

The previous prime is 12220233201983. The next prime is 12220233202019. The reversal of 12220233202000 is 20233202221.

12220233202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×122202332020002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1935055 + ... + 5308945.

Almost surely, 212220233202000 is an apocalyptic number.

12220233202000 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 12220233202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14782424391072).

12220233202000 is an abundant number, since it is smaller than the sum of its proper divisors (17344615580144).

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

12220233202000 is a wasteful number, since it uses less digits than its factorization.

12220233202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3375725 (or 3375709 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 12220233202000 its reverse (20233202221), we get a palindrome (12240466404221).

The spelling of 12220233202000 in words is "twelve trillion, two hundred twenty billion, two hundred thirty-three million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1811 2000 3622 7244 9055 14488 18110 28976 36220 45275 72440 90550 144880 181100 226375 362200 452750 724400 905500 1811000 3373891 3622000 6747782 13495564 16869455 26991128 33738910 53982256 67477820 84347275 134955640 168694550 269911280 337389100 421736375 674778200 843472750 1349556400 1686945500 3373891000 6110116601 6747782000 12220233202 24440466404 30550583005 48880932808 61101166010 97761865616 122202332020 152752915025 244404664040 305505830050 488809328080 611011660100 763764575125 1222023320200 1527529150250 2444046640400 3055058300500 6110116601000 12220233202000