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212012112 = 24313477229
BaseRepresentation
bin11001010001100…
…00110001010000
3112202221022221110
430220300301100
5413233341422
633012053320
75153034054
oct1450606120
9482838843
10212012112
11a9747924
125b004240
1334c01970
142022bc64
151392d60c
hexca30c50

212012112 has 80 divisors (see below), whose sum is σ = 602461440. Its totient is φ = 63837696.

The previous prime is 212012077. The next prime is 212012123. The reversal of 212012112 is 211210212.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 25714 + ... + 32942.

It is an arithmetic number, because the mean of its divisors is an integer number (7530768).

Almost surely, 2212012112 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 212012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301230720).

212012112 is an abundant number, since it is smaller than the sum of its proper divisors (390449328).

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

212012112 is a wasteful number, since it uses less digits than its factorization.

212012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7300 (or 7294 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 212012112 is about 14560.6357004081. The cubic root of 212012112 is about 596.2845509999.

Adding to 212012112 its reverse (211210212), we get a palindrome (423222324).

The spelling of 212012112 in words is "two hundred twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 564 611 624 752 1128 1222 1833 2256 2444 3666 4888 7229 7332 9776 14458 14664 21687 28916 29328 43374 57832 86748 93977 115664 173496 187954 281931 339763 346992 375908 563862 679526 751816 1019289 1127724 1359052 1503632 2038578 2255448 2718104 4077156 4416919 4510896 5436208 8154312 8833838 13250757 16308624 17667676 26501514 35335352 53003028 70670704 106006056 212012112