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212020021021122 = 2321012813037136657
BaseRepresentation
bin110000001101010011000010…
…000010011100100111000010
31000210200220201210210102011200
4300031103002002130213002
5210242214000340133442
62030532353015322030
762441640525235146
oct6015230202344702
91023626653712150
10212020021021122
11616132055746a6
121b942a98080316
13913c52c806512
143a4db765db226
15197a1d99ce34c
hexc0d4c209c9c2

212020021021122 has 96 divisors (see below), whose sum is σ = 465732684419184. Its totient is φ = 69701119488000.

The previous prime is 212020021021111. The next prime is 212020021021177. The reversal of 212020021021122 is 221120120020212.

It is a happy number.

212020021021122 is a `hidden beast` number, since 2 + 1 + 20 + 200 + 210 + 211 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 208048573884321 + 3971447136801 = 14423889^2 + 1992849^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 212020021021095 and 212020021021104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1551407418 + ... + 1551544074.

Almost surely, 2212020021021122 is an apocalyptic number.

212020021021122 is an abundant number, since it is smaller than the sum of its proper divisors (253712663398062).

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

212020021021122 is a wasteful number, since it uses less digits than its factorization.

212020021021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140084 (or 140081 counting only the distinct ones).

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

Adding to 212020021021122 its reverse (221120120020212), we get a palindrome (433140141041334).

The spelling of 212020021021122 in words is "two hundred twelve trillion, twenty billion, twenty-one million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 281 303 562 606 843 909 1686 1818 2529 3037 5058 6074 9111 18222 27333 28381 54666 56762 85143 136657 170286 255429 273314 306737 409971 510858 613474 819942 853397 920211 1229913 1706794 1840422 2459826 2560191 2760633 5120382 5521266 7680573 13802357 15361146 27604714 38400617 41407071 76801234 82814142 86193097 115201851 124221213 172386194 230403702 248442426 258579291 345605553 415027309 517158582 691211106 775737873 830054618 1245081927 1551475746 2490163854 3735245781 3878462317 7470491562 7756924634 11635386951 23270773902 34906160853 41917758209 69812321706 83835516418 116622673829 125753274627 233245347658 251506549254 349868021487 377259823881 699736042974 754519647762 1049604064461 2099208128922 11778890056729 23557780113458 35336670170187 70673340340374 106010010510561 212020021021122