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210122221000120 = 235111322825742617
BaseRepresentation
bin101111110001101011100100…
…010101111001010110111000
31000112222111011212020102021221
4233301223210111321112320
5210020120302034000440
62022520452110441424
762154554342226412
oct5761534425712670
91015874155212257
10210122221000120
1160a51373974780
121b697116803274
1390325957a6800
1439c5d810419b2
151945b63e51d4a
hexbf1ae45795b8

210122221000120 has 96 divisors (see below), whose sum is σ = 558479771021520. Its totient is φ = 70530535695360.

The previous prime is 210122221000099. The next prime is 210122221000157. The reversal of 210122221000120 is 21000122221012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210122221000094 and 210122221000103.

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, 1412796949 + ... + 1412945668.

Almost surely, 2210122221000120 is an apocalyptic number.

210122221000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122221000120 is an abundant number, since it is smaller than the sum of its proper divisors (348357550021400).

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

210122221000120 is a wasteful number, since it uses less digits than its factorization.

210122221000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825742665 (or 2825742648 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 210122221000120 its reverse (21000122221012), we get a palindrome (231122343221132).

The spelling of 210122221000120 in words is "two hundred ten trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 169 220 260 286 338 440 520 572 676 715 845 1144 1352 1430 1690 1859 2860 3380 3718 5720 6760 7436 9295 14872 18590 37180 74360 2825742617 5651485234 11302970468 14128713085 22605940936 28257426170 31083168787 36734654021 56514852340 62166337574 73469308042 113029704680 124332675148 146938616084 155415843935 183673270105 248665350296 293877232168 310831687870 367346540210 404081194231 477550502273 621663375740 734693080420 808162388462 955101004546 1243326751480 1469386160840 1616324776924 1910202009092 2020405971155 2387752511365 3232649553848 3820404018184 4040811942310 4775505022730 5253055525003 8081623884620 9551010045460 10506111050006 16163247769240 19102020090920 21012222100012 26265277625015 42024444200024 52530555250030 105061110500060 210122221000120