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1212210221112 = 2333111811281717
BaseRepresentation
bin10001101000111101010…
…111000001000000111000
311021212221000101121111000
4101220331113001000320
5124330101304033422
62324514240005000
7153402461604222
oct21507527010070
94255830347430
101212210221112
11428106081a20
12176b26900760
138a407174c07
1442958029412
15217ebb33cac
hex11a3d5c1038

1212210221112 has 128 divisors (see below), whose sum is σ = 3675405715200. Its totient is φ = 367132291200.

The previous prime is 1212210221111. The next prime is 1212210221147. The reversal of 1212210221112 is 2111220122121.

1212210221112 is a `hidden beast` number, since 121 + 2 + 210 + 221 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1212210221111) 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 31 ways as a sum of consecutive naturals, for example, 4162078 + ... + 4443794.

It is an arithmetic number, because the mean of its divisors is an integer number (28714107150).

Almost surely, 21212210221112 is an apocalyptic number.

1212210221112 is a gapful number since it is divisible by the number (12) 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 1212210221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837702857600).

1212210221112 is an abundant number, since it is smaller than the sum of its proper divisors (2463195494088).

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

1212210221112 is a wasteful number, since it uses less digits than its factorization.

1212210221112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283554 (or 283544 counting only the distinct ones).

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

Adding to 1212210221112 its reverse (2111220122121), we get a palindrome (3323430343233).

The spelling of 1212210221112 in words is "one trillion, two hundred twelve billion, two hundred ten million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 1811 2376 3622 5433 7244 10866 14488 16299 19921 21732 32598 39842 43464 48897 59763 65196 79684 97794 119526 130392 159368 179289 195588 239052 281717 358578 391176 478104 537867 563434 717156 845151 1075734 1126868 1434312 1690302 2151468 2253736 2535453 3098887 3380604 4302936 5070906 6197774 6761208 7606359 9296661 10141812 12395548 15212718 18593322 20283624 24791096 27889983 30425436 37186644 55779966 60850872 74373288 83669949 111559932 167339898 223119864 334679796 510189487 669359592 1020378974 1530568461 2040757948 3061136922 4081515896 4591705383 5612084357 6122273844 9183410766 11224168714 12244547688 13775116149 16836253071 18366821532 22448337428 27550232298 33672506142 36733643064 44896674856 50508759213 55100464596 67345012284 101017518426 110200929192 134690024568 151526277639 202035036852 303052555278 404070073704 606105110556 1212210221112