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212001112022200 = 235210211675961949
BaseRepresentation
bin110000001101000001011010…
…111110010101110010111000
31000210122002221000011202001021
4300031001122332111302320
5210241411234134202300
62030515544422032224
762440401121344334
oct6015013276256270
91023562830152037
10212001112022200
1161606191973966
121b93b29b578674
13913a80817b567
143a4cca11907c4
15197997e91cd1a
hexc0d05af95cb8

212001112022200 has 96 divisors (see below), whose sum is σ = 493422754860000. Its totient is φ = 84710966054400.

The previous prime is 212001112022179. The next prime is 212001112022209. The reversal of 212001112022200 is 2220211100212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001112022209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3422156826 + ... + 3422218774.

It is an arithmetic number, because the mean of its divisors is an integer number (5139820363125).

Almost surely, 2212001112022200 is an apocalyptic number.

212001112022200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001112022200 is an abundant number, since it is smaller than the sum of its proper divisors (281421642837800).

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

212001112022200 is a wasteful number, since it uses less digits than its factorization.

212001112022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79745 (or 79736 counting only the distinct ones).

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

Adding to 212001112022200 its reverse (2220211100212), we get a palindrome (214221323122412).

The spelling of 212001112022200 in words is "two hundred twelve trillion, one billion, one hundred twelve million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1021 2042 4084 5105 8168 10210 16759 20420 25525 33518 40840 51050 61949 67036 83795 102100 123898 134072 167590 204200 247796 309745 335180 418975 495592 619490 670360 837950 1238980 1548725 1675900 2477960 3097450 3351800 6194900 12389800 17110939 34221878 63249929 68443756 85554695 126499858 136887512 171109390 252999716 316249645 342218780 427773475 505999432 632499290 684437560 855546950 1038203291 1264998580 1581248225 1711093900 2076406582 2529997160 3162496450 3422187800 4152813164 5191016455 6324992900 8305626328 10382032910 12649985800 20764065820 25955082275 41528131640 51910164550 103820329100 207640658200 1060005560111 2120011120222 4240022240444 5300027800555 8480044480888 10600055601110 21200111202220 26500139002775 42400222404440 53000278005550 106000556011100 212001112022200