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22012120100200 = 23521071451708893
BaseRepresentation
bin1010000000101000110001…
…00110010110110101101000
32212221100010111102020110211
411000110120212112311220
510341121310221201300
6114452121154550504
74431215566463026
oct500243046266550
985840114366424
1022012120100200
117017318a3a55a
12257611a598434
13c38970840319
1456156c66d716
152828bbe094ba
hex140518996d68

22012120100200 has 96 divisors (see below), whose sum is σ = 51692153499360. Its totient is φ = 8716536032000.

The previous prime is 22012120100197. The next prime is 22012120100209. The reversal of 22012120100200 is 200102121022.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22012120100209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30696954 + ... + 31405846.

It is an arithmetic number, because the mean of its divisors is an integer number (538459932285).

Almost surely, 222012120100200 is an apocalyptic number.

22012120100200 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 22012120100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25846076749680).

22012120100200 is an abundant number, since it is smaller than the sum of its proper divisors (29680033399160).

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

22012120100200 is a wasteful number, since it uses less digits than its factorization.

22012120100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710467 (or 710458 counting only the distinct ones).

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

Adding to 22012120100200 its reverse (200102121022), we get a palindrome (22212222221222).

The spelling of 22012120100200 in words is "twenty-two trillion, twelve billion, one hundred twenty million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 1451 2140 2675 2902 4280 5350 5804 7255 10700 11608 14510 21400 29020 36275 58040 72550 145100 155257 290200 310514 621028 708893 776285 1242056 1417786 1552570 2835572 3105140 3544465 3881425 5671144 6210280 7088930 7762850 14177860 15525700 17722325 28355720 31051400 35444650 70889300 75851551 141778600 151703102 303406204 379257755 606812408 758515510 1028603743 1517031020 1896288775 2057207486 3034062040 3792577550 4114414972 5143018715 7585155100 8228829944 10286037430 15170310200 20572074860 25715093575 41144149720 51430187150 102860374300 110060600501 205720748600 220121201002 440242402004 550303002505 880484804008 1100606005010 2201212010020 2751515012525 4402424020040 5503030025050 11006060050100 22012120100200