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212111221212 = 22351119838311
BaseRepresentation
bin1100010110001011010…
…0000110000111011100
3202021111101200110200000
43011202310012013130
511433400433034322
6241235331334300
721216212426562
oct3054264060734
9667441613600
10212111221212
1181a57288a30
1235137751390
1317004525b67
14a3a27b1a32
1557b68643ac
hex3162d061dc

212111221212 has 72 divisors (see below), whose sum is σ = 606576227712. Its totient is φ = 64276124400.

The previous prime is 212111221211. The next prime is 212111221297. The reversal of 212111221212 is 212122111212.

212111221212 is a `hidden beast` number, since 21 + 211 + 1 + 221 + 212 = 666.

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 not an unprimeable number, because it can be changed into a prime (212111221211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9908464 + ... + 9929847.

Almost surely, 2212111221212 is an apocalyptic number.

212111221212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212111221212 is an abundant number, since it is smaller than the sum of its proper divisors (394465006500).

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

212111221212 is a wasteful number, since it uses less digits than its factorization.

212111221212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19838341 (or 19838327 counting only the distinct ones).

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

Adding to 212111221212 its reverse (212122111212), we get a palindrome (424233332424).

Subtracting 212111221212 from its reverse (212122111212), we obtain a square (10890000 = 33002).

The spelling of 212111221212 in words is "two hundred twelve billion, one hundred eleven million, two hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 19838311 39676622 59514933 79353244 119029866 178544799 218221421 238059732 357089598 436442842 535634397 654664263 714179196 872885684 1071268794 1309328526 1606903191 1963992789 2142537588 2618657052 3213806382 3927985578 4820709573 5891978367 6427612764 7855971156 9641419146 11783956734 17675935101 19282838292 23567913468 35351870202 53027805303 70703740404 106055610606 212111221212