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212001212112 = 24317216791513
BaseRepresentation
bin1100010101110001000…
…0011100011011010000
3202021012201200102112220
43011130100130123100
511433134302241422
6241220401421040
721213405366414
oct3053420343320
9667181612486
10212001212112
1181a00180518
123510693a780
1316cb77b9611
14a391d36d44
1557abd83e5c
hex315c41c6d0

212001212112 has 120 divisors (see below), whose sum is σ = 585270831936. Its totient is φ = 66111197184.

The previous prime is 212001212081. The next prime is 212001212119. The reversal of 212001212112 is 211212100212.

It is a junction number, because it is equal to n+sod(n) for n = 212001212091 and 212001212100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001212119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2270868 + ... + 2362380.

Almost surely, 2212001212112 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 212001212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292635415968).

212001212112 is an abundant number, since it is smaller than the sum of its proper divisors (373269619824).

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

212001212112 is a wasteful number, since it uses less digits than its factorization.

212001212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91725 (or 91702 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212001212112 its reverse (211212100212), we get a palindrome (423213312324).

The spelling of 212001212112 in words is "two hundred twelve billion, one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 167 204 272 289 334 408 501 578 668 816 867 1002 1156 1336 1734 2004 2312 2672 2839 3468 4008 4624 5678 6936 8016 8517 11356 13872 17034 22712 34068 45424 48263 68136 91513 96526 136272 144789 183026 193052 274539 289578 366052 386104 549078 579156 732104 772208 1098156 1158312 1464208 1555721 2196312 2316624 3111442 4392624 4667163 6222884 9334326 12445768 15282671 18668652 24891536 26447257 30565342 37337304 45848013 52894514 61130684 74674608 79341771 91696026 105789028 122261368 158683542 183392052 211578056 244522736 259805407 317367084 366784104 423156112 519610814 634734168 733568208 779416221 1039221628 1269468336 1558832442 2078443256 3117664884 4156886512 4416691919 6235329768 8833383838 12470659536 13250075757 17666767676 26500151514 35333535352 53000303028 70667070704 106000606056 212001212112