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222111212112 = 243273101209201
BaseRepresentation
bin1100111011011011011…
…1000010001001010000
3210020022022102122022100
43032312313002021100
512114340432241422
6250011514040400
722022060103156
oct3166667021120
9706268378270
10222111212112
1186218a97119
1237068719100
1317c3920c13a
14aa709313d6
155b9e71e7ac
hex33b6dc2250

222111212112 has 120 divisors (see below), whose sum is σ = 636359848488. Its totient is φ = 72299520000.

The previous prime is 222111212093. The next prime is 222111212159. The reversal of 222111212112 is 211212111222.

It can be written as a sum of positive squares in 4 ways, for example, as 73010201616 + 149101010496 = 270204^2 + 386136^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 957112 + ... + 1166312.

Almost surely, 2222111212112 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 222111212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318179924244).

222111212112 is an abundant number, since it is smaller than the sum of its proper divisors (414248636376).

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

222111212112 is a wasteful number, since it uses less digits than its factorization.

222111212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209389 (or 209380 counting only the distinct ones).

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

Adding to 222111212112 its reverse (211212111222), we get a palindrome (433323323334).

The spelling of 222111212112 in words is "two hundred twenty-two billion, one hundred eleven million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 101 144 146 202 219 292 303 404 438 584 606 657 808 876 909 1168 1212 1314 1616 1752 1818 2424 2628 3504 3636 4848 5256 7272 7373 10512 14544 14746 22119 29492 44238 58984 66357 88476 117968 132714 176952 209201 265428 353904 418402 530856 627603 836804 1061712 1255206 1673608 1882809 2510412 3347216 3765618 5020824 7531236 10041648 15062472 15271673 21129301 30124944 30543346 42258602 45815019 61086692 63387903 84517204 91630038 122173384 126775806 137445057 169034408 183260076 190163709 244346768 253551612 274890114 338068816 366520152 380327418 507103224 549780228 733040304 760654836 1014206448 1099560456 1521309672 1542438973 2199120912 3042619344 3084877946 4627316919 6169755892 9254633838 12339511784 13881950757 18509267676 24679023568 27763901514 37018535352 55527803028 74037070704 111055606056 222111212112