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212101222000212 = 2232101111109525013
BaseRepresentation
bin110000001110011110101001…
…111111100110011001010100
31000210222200022211202112202200
4300032132221333212121110
5210300031300313001322
62031033542314204500
762450544002203416
oct6016365177463124
91023880284675680
10212101222000212
1161644694396086
121b95677a123730
1391470a06b633c
143a53a7aa7c9b6
15197c38d62d8ac
hexc0e7a9fe6654

212101222000212 has 72 divisors (see below), whose sum is σ = 541459024022280. Its totient is φ = 69999639955200.

The previous prime is 212101222000193. The next prime is 212101222000229. The reversal of 212101222000212 is 212000222101212.

It is a happy number.

212101222000212 is a `hidden beast` number, since 21 + 210 + 1 + 2 + 220 + 0 + 0 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 160114757093316 + 51986464906896 = 12653646^2 + 7210164^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403729818 + ... + 404254830.

Almost surely, 2212101222000212 is an apocalyptic number.

It is an amenable number.

212101222000212 is an abundant number, since it is smaller than the sum of its proper divisors (329357802022068).

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

212101222000212 is a wasteful number, since it uses less digits than its factorization.

212101222000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636233 (or 636228 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212101222000212 its reverse (212000222101212), we get a palindrome (424101444101424).

The spelling of 212101222000212 in words is "two hundred twelve trillion, one hundred one billion, two hundred twenty-two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 111109 222218 333327 444436 525013 666654 999981 1050026 1333308 1575039 1999962 2100052 3150078 3999924 4725117 6300156 9450234 11222009 18900468 22444018 33666027 44888036 53026313 67332054 100998081 106052626 134664108 159078939 201996162 212105252 318157878 403992324 477236817 636315756 954473634 1908947268 58333669417 116667338834 175001008251 233334677668 350002016502 525003024753 700004033004 1050006049506 2100012099012 5891700611117 11783401222234 17675101833351 23566802444468 35350203666702 53025305500053 70700407333404 106050611000106 212101222000212