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212211121212 = 223311349934847
BaseRepresentation
bin1100010110100011000…
…1001011110000111100
3202021202100122220201000
43011220301023300330
511434102021334322
6241253300450300
721221534524326
oct3055061136074
9667670586630
10212211121212
1181aa8711312
12351650a9990
131701c132c9c
14a3b1b78616
1557c04e93ac
hex3168c4bc3c

212211121212 has 96 divisors (see below), whose sum is σ = 556174080000. Its totient is φ = 69968537856.

The previous prime is 212211121211. The next prime is 212211121219. The reversal of 212211121212 is 212121112212.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211121211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6072373 + ... + 6107219.

It is an arithmetic number, because the mean of its divisors is an integer number (5793480000).

Almost surely, 2212211121212 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 212211121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278087040000).

212211121212 is an abundant number, since it is smaller than the sum of its proper divisors (343962958788).

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

212211121212 is a wasteful number, since it uses less digits than its factorization.

212211121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35472 (or 35464 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 212211121212 its reverse (212121112212), we get a palindrome (424332233424).

The spelling of 212211121212 in words is "two hundred twelve billion, two hundred eleven million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 499 678 998 1017 1356 1497 1996 2034 2994 3051 4068 4491 5988 6102 8982 12204 13473 17964 26946 34847 53892 56387 69694 104541 112774 139388 169161 209082 225548 313623 338322 418164 507483 627246 676644 940869 1014966 1254492 1522449 1881738 2029932 3044898 3763476 3937711 6089796 7875422 11813133 15750844 17388653 23626266 34777306 35439399 47252532 52165959 69554612 70878798 104331918 106318197 141757596 156497877 208663836 212636394 312995754 425272788 469493631 625991508 938987262 1877974524 1964917789 3929835578 5894753367 7859671156 11789506734 17684260101 23579013468 35368520202 53052780303 70737040404 106105560606 212211121212