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212010121010212 = 227171017196133373
BaseRepresentation
bin110000001101001001110011…
…111100111001110000100100
31000210122222011212011202021221
4300031021303330321300210
5210242033211434311322
62030524034403550124
762441140303441450
oct6015116374716044
91023588155152257
10212010121010212
1161609a952439a8
121b940b9468b344
13913b6127578b5
143a4d4b7865660
151979d0a7c29c7
hexc0d273f39c24

212010121010212 has 96 divisors (see below), whose sum is σ = 454038466452480. Its totient is φ = 84552213043200.

The previous prime is 212010121010197. The next prime is 212010121010213.

212010121010212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2120101210102122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212010121010213) 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 31 ways as a sum of consecutive naturals, for example, 31499958 + ... + 37633330.

It is an arithmetic number, because the mean of its divisors is an integer number (4729567358880).

Almost surely, 2212010121010212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212010121010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227019233226240).

212010121010212 is an abundant number, since it is smaller than the sum of its proper divisors (242028345442268).

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

212010121010212 is a wasteful number, since it uses less digits than its factorization.

212010121010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134221 (or 6134219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 212010121010212 in words is "two hundred twelve trillion, ten billion, one hundred twenty-one million, ten thousand, two hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 68 101 119 202 238 404 476 707 719 1414 1438 1717 2828 2876 3434 5033 6868 10066 12019 12223 20132 24038 24446 48076 48892 72619 85561 145238 171122 290476 342244 508333 1016666 1234523 2033332 2469046 4938092 6133373 8641661 12266746 17283322 24533492 34566644 42933611 85867222 104267341 171734444 208534682 417069364 619470673 729871387 1238941346 1459742774 2477882692 2919485548 4336294711 4409895187 8672589422 8819790374 10531001441 17345178844 17639580748 21062002882 30869266309 42124005764 61738532618 73717010087 74968218179 123477065236 147434020174 149936436358 294868040348 299872872716 445399413887 524777527253 890798827774 1049555054506 1781597655548 2099110109012 3117795897209 6235591794418 7571790036079 12471183588836 15143580072158 30287160144316 53002530252553 106005060505106 212010121010212