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12220021220200 = 23522271783150961
BaseRepresentation
bin1011000111010011001000…
…0001100010001101101000
31121021020000021211011011221
42301310302001202031220
53100203100413021300
641553444504231424
72400603342353623
oct261646201421550
947236007734157
1012220021220200
113991533449082
1214543a446b574
136a845c906301
14303648b0adba
15162d0de0331a
hexb1d32062368

12220021220200 has 96 divisors (see below), whose sum is σ = 28552904372160. Its totient is φ = 4863713817600.

The previous prime is 12220021220159. The next prime is 12220021220213. The reversal of 12220021220200 is 202212002221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80872720 + ... + 81023680.

It is an arithmetic number, because the mean of its divisors is an integer number (297426087210).

Almost surely, 212220021220200 is an apocalyptic number.

12220021220200 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 12220021220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14276452186080).

12220021220200 is an abundant number, since it is smaller than the sum of its proper divisors (16332883151960).

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

12220021220200 is a wasteful number, since it uses less digits than its factorization.

12220021220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152987 (or 152978 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12220021220200 its reverse (202212002221), we get a palindrome (12422233222421).

The spelling of 12220021220200 in words is "twelve trillion, two hundred twenty billion, twenty-one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 227 454 908 1135 1783 1816 2270 3566 4540 5675 7132 8915 9080 11350 14264 17830 22700 35660 44575 45400 71320 89150 150961 178300 301922 356600 404741 603844 754805 809482 1207688 1509610 1618964 2023705 3019220 3237928 3774025 4047410 6038440 7548050 8094820 10118525 15096100 16189640 20237050 30192200 34268147 40474100 68536294 80948200 137072588 171340735 269163463 274145176 342681470 538326926 685362940 856703675 1076653852 1345817315 1370725880 1713407350 2153307704 2691634630 3426814700 5383269260 6729086575 6853629400 10766538520 13458173150 26916346300 53832692600 61100106101 122200212202 244400424404 305500530505 488800848808 611001061010 1222002122020 1527502652525 2444004244040 3055005305050 6110010610100 12220021220200