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212011210012 = 2274181121963
BaseRepresentation
bin1100010101110011011…
…0100101010100011100
3202021020102111101002111
43011130312211110130
511433144332210022
6241221400003404
721213556360000
oct3053466452434
9667212441074
10212011210012
1181a0588a048
123510a160564
1316cb98aa234
14a3933ba700
1557acbab477
hex315cda551c

212011210012 has 60 divisors (see below), whose sum is σ = 435225362936. Its totient is φ = 90359206560.

The previous prime is 212011210009. The next prime is 212011210039. The reversal of 212011210012 is 210012110212.

212011210012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212011209974 and 212011210001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1677343 + ... + 1799305.

Almost surely, 2212011210012 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 212011210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217612681468).

212011210012 is an abundant number, since it is smaller than the sum of its proper divisors (223214152924).

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

212011210012 is a wasteful number, since it uses less digits than its factorization.

212011210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122176 (or 122153 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212011210012 its reverse (210012110212), we get a palindrome (422023320224).

The spelling of 212011210012 in words is "two hundred twelve billion, eleven million, two hundred ten thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 181 196 343 362 686 724 1267 1372 2401 2534 4802 5068 8869 9604 17738 35476 62083 121963 124166 243926 248332 434581 487852 853741 869162 1707482 1738324 3414964 5976187 11952374 22075303 23904748 41833309 44150606 83666618 88301212 154527121 167333236 292833163 309054242 585666326 618108484 1081689847 1171332652 2163379694 4326759388 7571828929 15143657858 30287315716 53002802503 106005605006 212011210012