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212111212112 = 242919914831549
BaseRepresentation
bin1100010110001011010…
…0000011111001010000
3202021111101200000011222
43011202310003321100
511433400432241422
6241235331224212
721216212361212
oct3054264037120
9667441600158
10212111212112
1181a57282108
1235137748068
1317004521987
14a3a27ac5b2
1557b6861842
hex3162d03e50

212111212112 has 80 divisors (see below), whose sum is σ = 427837200000. Its totient is φ = 101749519872.

The previous prime is 212111212069. The next prime is 212111212121. The reversal of 212111212112 is 211212111212.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136933514 + ... + 136935062.

It is an arithmetic number, because the mean of its divisors is an integer number (5347965000).

Almost surely, 2212111212112 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 212111212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213918600000).

212111212112 is an abundant number, since it is smaller than the sum of its proper divisors (215725987888).

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

212111212112 is a wasteful number, since it uses less digits than its factorization.

212111212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3262 counting only the distinct ones).

The product of its digits is 32, while the sum is 17.

Adding to 212111212112 its reverse (211212111212), we get a palindrome (423323323324).

The spelling of 212111212112 in words is "two hundred twelve billion, one hundred eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 58 116 199 232 398 464 796 1483 1549 1592 2966 3098 3184 5771 5932 6196 11542 11864 12392 23084 23728 24784 43007 44921 46168 86014 89842 92336 172028 179684 295117 308251 344056 359368 590234 616502 688112 718736 1180468 1233004 2297167 2360936 2466008 4594334 4721872 4932016 8558393 8939279 9188668 17116786 17878558 18377336 34233572 35757116 36754672 66617843 68467144 71514232 133235686 136934288 143028464 266471372 457136233 532942744 914272466 1065885488 1828544932 3657089864 7314179728 13256950757 26513901514 53027803028 106055606056 212111212112