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212120120212 = 227111352977053
BaseRepresentation
bin1100010110001101011…
…0000010101110010100
3202021112000102120210121
43011203112002232110
511433410222321322
6241240250201324
721216351162310
oct3054326025624
9667460376717
10212120120212
1181a61306980
123513a723244
1317006320540
14a3a3a4ab40
1557b7520ec7
hex3163582b94

212120120212 has 48 divisors (see below), whose sum is σ = 498408124032. Its totient is φ = 76286954880.

The previous prime is 212120120189. The next prime is 212120120237. The reversal of 212120120212 is 212021021212.

It is a happy number.

212120120212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 26484523 + ... + 26492530.

It is an arithmetic number, because the mean of its divisors is an integer number (10383502584).

Almost surely, 2212120120212 is an apocalyptic number.

212120120212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212120120212 is an abundant number, since it is smaller than the sum of its proper divisors (286288003820).

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

212120120212 is a wasteful number, since it uses less digits than its factorization.

212120120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52977088 (or 52977086 counting only the distinct ones).

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

Adding to 212120120212 its reverse (212021021212), we get a palindrome (424141141424).

The spelling of 212120120212 in words is "two hundred twelve billion, one hundred twenty million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 52977053 105954106 211908212 370839371 582747583 688701689 741678742 1165495166 1377403378 1483357484 2330990332 2754806756 4079233081 4820911823 7575718579 8158466162 9641823646 15151437158 16316932324 19283647292 30302874316 53030030053 106060060106 212120120212