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210120002212120 = 235711135247752303
BaseRepresentation
bin101111110001101001100000…
…000101111001000100011000
31000112222021110020012022100121
4233301221200011321010120
5210020101231031241440
62022515444010243024
762154445350646630
oct5761514005710430
91015867406168317
10210120002212120
1160a50435482490
121b6967b7726474
139032300bc75c0
1439c5c104b36c0
151945a8427334a
hexbf1a60179118

210120002212120 has 128 divisors (see below), whose sum is σ = 634768118691840. Its totient is φ = 60454106519040.

The previous prime is 210120002212069. The next prime is 210120002212121. The reversal of 210120002212120 is 21212200021012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210120002212094 and 210120002212103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210120002212121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2623836112 + ... + 2623916191.

It is an arithmetic number, because the mean of its divisors is an integer number (4959125927280).

Almost surely, 2210120002212120 is an apocalyptic number.

210120002212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210120002212120 is an abundant number, since it is smaller than the sum of its proper divisors (424648116479720).

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

210120002212120 is a wasteful number, since it uses less digits than its factorization.

210120002212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5247752345 (or 5247752341 counting only the distinct ones).

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

Adding to 210120002212120 its reverse (21212200021012), we get a palindrome (231332202233132).

The spelling of 210120002212120 in words is "two hundred ten trillion, one hundred twenty billion, two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 5247752303 10495504606 20991009212 26238761515 36734266121 41982018424 52477523030 57725275333 68220779939 73468532242 104955046060 115450550666 136441559878 146937064484 183671330605 209910092120 230901101332 272883119756 288626376665 293874128968 341103899695 367342661210 404076927331 461802202664 477545459573 545766239512 577252753330 682207799390 734685322420 750428579329 808153854662 955090919146 1154505506660 1364415598780 1469370644840 1500857158658 1616307709324 1910181838292 2020384636655 2309011013320 2387727297865 2728831197560 3001714317316 3232615418648 3752142896645 3820363676584 4040769273310 4775454595730 5253000055303 6003428634632 7504285793290 8081538546620 9550909191460 10506000110606 15008571586580 16163077093240 19101818382920 21012000221212 26265000276515 30017143173160 42024000442424 52530000553030 105060001106060 210120002212120