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212002120010120 = 235113761128110343
BaseRepresentation
bin110000001101000010010111…
…000011100000100110001000
31000210122012112020212211112012
4300031002113003200212020
5210241420320210310440
62030520232430435052
762440435111164536
oct6015022703404610
91023565466784465
10212002120010120
1161606659953130
121b93b521062a88
13913a938c5450b
143a4cd58dbb156
1519799dd17ae65
hexc0d0970e0988

212002120010120 has 64 divisors (see below), whose sum is σ = 520507203258240. Its totient is φ = 77071181747200.

The previous prime is 212002120010119. The next prime is 212002120010173. The reversal of 212002120010120 is 21010021200212.

It is a junction number, because it is equal to n+sod(n) for n = 212002120010095 and 212002120010104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62400332 + ... + 65710011.

It is an arithmetic number, because the mean of its divisors is an integer number (8132925050910).

Almost surely, 2212002120010120 is an apocalyptic number.

212002120010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002120010120 is an abundant number, since it is smaller than the sum of its proper divisors (308505083248120).

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

212002120010120 is a wasteful number, since it uses less digits than its factorization.

212002120010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128114126 (or 128114122 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212002120010120 its reverse (21010021200212), we get a palindrome (233012141210332).

The spelling of 212002120010120 in words is "two hundred twelve trillion, two billion, one hundred twenty million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 3761 7522 15044 18805 30088 37610 41371 75220 82742 150440 165484 206855 330968 413710 827420 1654840 128110343 256220686 512441372 640551715 1024882744 1281103430 1409213773 2562206860 2818427546 5124413720 5636855092 7046068865 11273710184 14092137730 28184275460 56368550920 481823000023 963646000046 1927292000092 2409115000115 3854584000184 4818230000230 5300053000253 9636460000460 10600106000506 19272920000920 21200212001012 26500265001265 42400424002024 53000530002530 106001060005060 212002120010120