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212212010112 = 2738914934159
BaseRepresentation
bin1100010110100011010…
…0100100110010000000
3202021202102100002001020
43011220310210302000
511434102233310422
6241253331505440
721221545216014
oct3055064446200
9667672302036
10212212010112
1181aa9169143
1235165458280
131701c38476b
14a3b1d2a544
1557c062295c
hex3168d24c80

212212010112 has 128 divisors (see below), whose sum is σ = 570540672000. Its totient is φ = 69878882304.

The previous prime is 212212010099. The next prime is 212212010117. The reversal of 212212010112 is 211010212212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 212212010091 and 212212010100.

It is not an unprimeable number, because it can be changed into a prime (212212010117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51022689 + ... + 51026847.

It is an arithmetic number, because the mean of its divisors is an integer number (4457349000).

Almost surely, 2212212010112 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 212212010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285270336000).

212212010112 is an abundant number, since it is smaller than the sum of its proper divisors (358328661888).

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

212212010112 is a wasteful number, since it uses less digits than its factorization.

212212010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5758 (or 5746 counting only the distinct ones).

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

Adding to 212212010112 its reverse (211010212212), we get a palindrome (423222222324).

The spelling of 212212010112 in words is "two hundred twelve billion, two hundred twelve million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 267 356 384 534 712 1068 1424 1493 2136 2848 2986 4159 4272 4479 5696 5972 8318 8544 8958 11392 11944 12477 16636 17088 17916 23888 24954 33272 34176 35832 47776 49908 66544 71664 95552 99816 132877 133088 143328 191104 199632 265754 266176 286656 370151 398631 399264 531508 532352 573312 740302 797262 798528 1063016 1110453 1480604 1594524 1597056 2126032 2220906 2961208 3189048 4252064 4441812 5922416 6209387 6378096 8504128 8883624 11844832 12418774 12756192 17008256 17767248 18628161 23689664 24837548 25512384 35534496 37256322 47379328 49675096 51024768 71068992 74512644 99350192 142137984 149025288 198700384 298050576 397400768 552635443 596101152 794801536 1105270886 1192202304 1657906329 2210541772 2384404608 3315812658 4421083544 6631625316 8842167088 13263250632 17684334176 26526501264 35368668352 53053002528 70737336704 106106005056 212212010112