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212112222112 = 257174110712697
BaseRepresentation
bin1100010110001011011…
…1111010011110100000
3202021111110120022122101
43011202313322132200
511433401212101422
6241235405020144
721216224065630
oct3054267723640
9667443508571
10212112222112
1181a57901a1a
1235137b54654
13170047b65cb
14a3a29926c0
1557b69b0c27
hex3162dfa7a0

212112222112 has 192 divisors, whose sum is σ = 522530217216. Its totient is φ = 82684477440.

The previous prime is 212112222107. The next prime is 212112222137. The reversal of 212112222112 is 211222211212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212112222112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16699348 + ... + 16712044.

It is an arithmetic number, because the mean of its divisors is an integer number (2721511548).

Almost surely, 2212112222112 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 212112222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261265108608).

212112222112 is an abundant number, since it is smaller than the sum of its proper divisors (310417995104).

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

212112222112 is a wasteful number, since it uses less digits than its factorization.

212112222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12879 (or 12871 counting only the distinct ones).

The product of its digits is 128, while the sum is 19.

Adding to 212112222112 its reverse (211222211212), we get a palindrome (423334433324).

The spelling of 212112222112 in words is "two hundred twelve billion, one hundred twelve million, two hundred twenty-two thousand, one hundred twelve".