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200210112001212 = 2231710632243411617
BaseRepresentation
bin101101100001011100001100…
…100110110011010010111100
3222020212220021221102121222020
4231201130030212303102330
5202220220302133014322
61545451131122520140
760112463134001565
oct5541341446632274
9866786257377866
10200210112001212
115887a6a4837745
121a556089506050
13879396a551711
143762314aa116c
151822dd014705c
hexb6170c9b34bc

200210112001212 has 96 divisors (see below), whose sum is σ = 495324004234752. Its totient is φ = 62723797917696.

The previous prime is 200210112001189. The next prime is 200210112001241. The reversal of 200210112001212 is 212100211012002.

200210112001212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2002101120012122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200210112001191 and 200210112001200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486193228 + ... + 486604844.

It is an arithmetic number, because the mean of its divisors is an integer number (5159625044112).

Almost surely, 2200210112001212 is an apocalyptic number.

It is an amenable number.

200210112001212 is an abundant number, since it is smaller than the sum of its proper divisors (295113892233540).

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

200210112001212 is a wasteful number, since it uses less digits than its factorization.

200210112001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414947 (or 414945 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200210112001212 its reverse (212100211012002), we get a palindrome (412310323013214).

The spelling of 200210112001212 in words is "two hundred trillion, two hundred ten billion, one hundred twelve million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 1063 2126 2243 3189 4252 4486 6378 6729 8972 12756 13458 18071 26916 36142 38131 54213 72284 76262 108426 114393 152524 216852 228786 411617 457572 823234 1234851 1646468 2384309 2469702 4768618 4939404 6997489 7152927 9537236 13994978 14305854 20992467 27989956 28611708 40533253 41984934 81066506 83969868 121599759 162133012 243199518 437548871 486399036 875097742 923256931 1312646613 1750195484 1846513862 2625293226 2769770793 3693027724 5250586452 5539541586 7438330807 11079083172 14876661614 15695367827 22314992421 29753323228 31390735654 44629984842 47086103481 62781471308 89259969684 94172206962 188344413924 981422117653 1962844235306 2944266352959 3925688470612 5888532705918 11777065411836 16684176000101 33368352000202 50052528000303 66736704000404 100105056000606 200210112001212