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212112211212 = 223211839638423
BaseRepresentation
bin1100010110001011011…
…1110111110100001100
3202021111110112202200200
43011202313313310030
511433401211224322
6241235404453500
721216224022066
oct3054267676414
9667443482620
10212112211212
1181a578a4810
1235137b4a290
13170047b1665
14a3a298c736
1557b69ac8ac
hex3162df7d0c

212112211212 has 72 divisors (see below), whose sum is σ = 585613566720. Its totient is φ = 64199716320.

The previous prime is 212112211159. The next prime is 212112211253.

212112211212 is a `hidden beast` number, since 21 + 211 + 221 + 1 + 212 = 666.

212112211212 is nontrivially palindromic in base 10.

212112211212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13033 + ... + 651455.

It is an arithmetic number, because the mean of its divisors is an integer number (8133521760).

Almost surely, 2212112211212 is an apocalyptic number.

212112211212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292806783360).

212112211212 is an abundant number, since it is smaller than the sum of its proper divisors (373501355508).

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

212112211212 is a wasteful number, since it uses less digits than its factorization.

212112211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639283 (or 639278 counting only the distinct ones).

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

It can be divided in two parts, 212112 and 211212, that added together give a palindrome (423324).

The spelling of 212112211212 in words is "two hundred twelve billion, one hundred twelve million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 839 1678 2517 3356 5034 7551 9229 10068 15102 18458 27687 30204 36916 55374 83061 110748 166122 332244 638423 1276846 1915269 2553692 3830538 5745807 7022653 7661076 11491614 14045306 21067959 22983228 28090612 42135918 63203877 84271836 126407754 252815508 535636897 1071273794 1606910691 2142547588 3213821382 4820732073 5892005867 6427642764 9641464146 11784011734 17676017601 19282928292 23568023468 35352035202 53028052803 70704070404 106056105606 212112211212