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22002200121200 = 2452137333577007
BaseRepresentation
bin1010000000010110010010…
…10100101000111101110000
32212220101112011020002112012
411000023021110220331300
510340441001212334300
6114443400551222052
74430415013162325
oct500131124507560
985811464202465
1022002200121200
117013098410502
122574210377928
13c37a4c5bc970
14560caadbab4c
152824db0a6435
hex1402c9528f70

22002200121200 has 120 divisors (see below), whose sum is σ = 56934323345088. Its totient is φ = 8122767344640.

The previous prime is 22002200121169. The next prime is 22002200121233. The reversal of 22002200121200 is 212100220022.

It is a congruent number.

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, 37843097 + ... + 38420103.

Almost surely, 222002200121200 is an apocalyptic number.

22002200121200 is a gapful number since it is divisible by the number (20) 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 22002200121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28467161672544).

22002200121200 is an abundant number, since it is smaller than the sum of its proper divisors (34932123223888).

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

22002200121200 is a wasteful number, since it uses less digits than its factorization.

22002200121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584371 (or 584360 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22002200121200 its reverse (212100220022), we get a palindrome (22214300341222).

The spelling of 22002200121200 in words is "twenty-two trillion, two billion, two hundred million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 7333 14666 29332 36665 58664 73330 95329 117328 146660 183325 190658 293320 366650 381316 476645 577007 586640 733300 762632 953290 1154014 1466600 1525264 1906580 2308028 2383225 2885035 2933200 3813160 4616056 4766450 5770070 7501091 7626320 9232112 9532900 11540140 14425175 15002182 19065800 23080280 28850350 30004364 37505455 38131600 46160560 57700700 60008728 75010910 115401400 120017456 150021820 187527275 230802800 300043640 375054550 600087280 750109100 1500218200 3000436400 4231192331 8462384662 16924769324 21155961655 33849538648 42311923310 55005500303 67699077296 84623846620 105779808275 110011000606 169247693240 211559616550 220022001212 275027501515 338495386480 423119233100 440044002424 550055003030 846238466200 880088004848 1100110006060 1375137507575 1692476932400 2200220012120 2750275015150 4400440024240 5500550030300 11001100060600 22002200121200