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212000002202120 = 235111881592560697
BaseRepresentation
bin110000001101000000011000…
…110100101101101000001000
31000210122000001122212001002212
4300031000120310231220020
5210241402001030431440
62030515242334444252
762440331454131306
oct6015003064555010
91023560048761085
10212000002202120
1161605772461690
121b93b02b963688
13913a68c26cba2
143a4cbd7a17276
151979917297465
hexc0d018d2da08

212000002202120 has 64 divisors (see below), whose sum is σ = 520366610534400. Its totient is φ = 77090470074880.

The previous prime is 212000002202101. The next prime is 212000002202129. The reversal of 212000002202120 is 21202200000212.

It is a junction number, because it is equal to n+sod(n) for n = 212000002202095 and 212000002202104.

It is not an unprimeable number, because it can be changed into a prime (212000002202129) by changing a digit.

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, 81509612 + ... + 84070308.

It is an arithmetic number, because the mean of its divisors is an integer number (8130728289600).

Almost surely, 2212000002202120 is an apocalyptic number.

212000002202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212000002202120 is an abundant number, since it is smaller than the sum of its proper divisors (308366608332280).

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

212000002202120 is a wasteful number, since it uses less digits than its factorization.

212000002202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748878 (or 2748874 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212000002202120 its reverse (21202200000212), we get a palindrome (233202202202332).

The spelling of 212000002202120 in words is "two hundred twelve trillion, two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 188159 376318 752636 940795 1505272 1881590 2069749 2560697 3763180 4139498 5121394 7526360 8278996 10242788 10348745 12803485 16557992 20485576 20697490 25606970 28167667 41394980 51213940 56335334 82789960 102427880 112670668 140838335 225341336 281676670 563353340 1126706680 481818186823 963636373646 1927272747292 2409090934115 3854545494584 4818181868230 5300000055053 9636363736460 10600000110106 19272727472920 21200000220212 26500000275265 42400000440424 53000000550530 106000001101060 212000002202120