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212022212020122 = 23726721399114833
BaseRepresentation
bin110000001101010101000100…
…101000011100011110011010
31000210201010101111112200202210
4300031111010220130132122
5210242232442234120442
62030533354244135550
762442046031355300
oct6015250450343632
91023633344480683
10212022212020122
116161412a306679
121b9433a99975b6
13913c7bb705c2a
143a4dd035b4270
15197a2b701e19c
hexc0d544a1c79a

212022212020122 has 144 divisors (see below), whose sum is σ = 501110679988800. Its totient is φ = 59630455196928.

The previous prime is 212022212020093. The next prime is 212022212020139. The reversal of 212022212020122 is 221020212220212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1846295218 + ... + 1846410050.

It is an arithmetic number, because the mean of its divisors is an integer number (3479935277700).

Almost surely, 2212022212020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212022212020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250555339994400).

212022212020122 is an abundant number, since it is smaller than the sum of its proper divisors (289088467968678).

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

212022212020122 is a wasteful number, since it uses less digits than its factorization.

212022212020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116385 (or 116311 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 212022212020122 its reverse (221020212220212), we get a palindrome (433042424240334).

The spelling of 212022212020122 in words is "two hundred twelve trillion, twenty-two billion, two hundred twelve million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 201 294 402 469 938 1399 1407 2798 2814 3283 4197 4489 6566 8394 8978 9793 9849 13467 19586 19698 26934 29379 31423 58758 62846 68551 93733 94269 114833 137102 187466 188538 205653 219961 229666 281199 344499 411306 439922 562398 656131 659883 688998 803831 1312262 1319766 1607662 1968393 2411493 3936786 4592917 4822986 5626817 6280111 7693811 9185834 11253634 12560222 13778751 15387622 16880451 18840333 23081433 27557502 33760902 37680666 43960777 46162866 53856677 87921554 107713354 131882331 160651367 161570031 263764662 307725439 321302734 323140062 376996739 481954101 515485337 615450878 753993478 923176317 963908202 1030970674 1124559569 1130990217 1546456011 1846352634 2249119138 2261980434 3092912022 3373678707 3608397359 6747357414 7216794718 7871916983 10763641589 10825192077 15743833966 21527283178 21650384154 23615750949 25258781513 32290924767 47231501898 50517563026 64581849534 75345491123 75776344539 150690982246 151552689078 226036473369 452072946738 527418437861 721163986463 1054836875722 1442327972926 1582255313583 2163491959389 3164510627166 4326983918778 5048147905241 10096295810482 15144443715723 30288887431446 35337035336687 70674070673374 106011106010061 212022212020122