Search a number
-
+
12220200211000 = 235361643311557
BaseRepresentation
bin1011000111010011110010…
…1100010101001000111000
31121021020110202121211101211
42301310330230111020320
53100203432223223000
641553514340452504
72400610644636655
oct261647454251070
947236422554354
1012220200211000
113991615491561
1214544343aa134
136a848aa15a22
143036647c0c2c
15162d1e9ac7ba
hexb1d3cb15238

12220200211000 has 128 divisors (see below), whose sum is σ = 29109337508160. Its totient is φ = 4800454848000.

The previous prime is 12220200210979. The next prime is 12220200211031. The reversal of 12220200211000 is 11200202221.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39067222 + ... + 39378778.

Almost surely, 212220200211000 is an apocalyptic number.

12220200211000 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 12220200211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14554668754080).

12220200211000 is an abundant number, since it is smaller than the sum of its proper divisors (16889137297160).

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

12220200211000 is a wasteful number, since it uses less digits than its factorization.

12220200211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312282 (or 312268 counting only the distinct ones).

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

Adding to 12220200211000 its reverse (11200202221), we get a palindrome (12231400413221).

The spelling of 12220200211000 in words is "twelve trillion, two hundred twenty billion, two hundred million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 643 1000 1220 1286 1525 2440 2572 3050 3215 5144 6100 6430 7625 12200 12860 15250 16075 25720 30500 32150 39223 61000 64300 78446 80375 128600 156892 160750 196115 311557 313784 321500 392230 623114 643000 784460 980575 1246228 1557785 1568920 1961150 2492456 3115570 3922300 4902875 6231140 7788925 7844600 9805750 12462280 15577850 19004977 19611500 31155700 38009954 38944625 39223000 62311400 76019908 77889250 95024885 152039816 155778500 190049770 200331151 311557000 380099540 400662302 475124425 760199080 801324604 950248850 1001655755 1602649208 1900497700 2003311510 2375622125 3800995400 4006623020 4751244250 5008278775 8013246040 9502488500 10016557550 12220200211 19004977000 20033115100 24440400422 25041393875 40066230200 48880800844 50082787750 61101001055 97761601688 100165575500 122202002110 200331151000 244404004220 305505005275 488808008440 611010010550 1222020021100 1527525026375 2444040042200 3055050052750 6110100105500 12220200211000