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1212114112 = 26112193811
BaseRepresentation
bin100100000111111…
…0110010011000000
310010110210202222021
41020033312103000
54440300122422
6320135451224
742015541246
oct11017662300
93113722867
101212114112
11572230300
12299b26b14
131641763b1
14b6da4796
157162edc7
hex483f64c0

1212114112 has 84 divisors (see below), whose sum is σ = 2660805448. Its totient is φ = 547430400.

The previous prime is 1212114089. The next prime is 1212114121. The reversal of 1212114112 is 2114112121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1494187 + ... + 1494997.

Almost surely, 21212114112 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 1212114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330402724).

1212114112 is an abundant number, since it is smaller than the sum of its proper divisors (1448691336).

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

1212114112 is a wasteful number, since it uses less digits than its factorization.

1212114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1017 counting only the distinct ones).

The product of its digits is 32, while the sum is 16.

The square root of 1212114112 is about 34815.4292232625. The cubic root of 1212114112 is about 1066.2224824184. Note that the first 3 decimals are identical.

Adding to 1212114112 its reverse (2114112121), we get a palindrome (3326226233).

The spelling of 1212114112 in words is "one billion, two hundred twelve million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 193 242 352 386 484 704 772 811 968 1544 1622 1936 2123 3088 3244 3872 4246 6176 6488 7744 8492 8921 12352 12976 16984 17842 23353 25952 33968 35684 46706 51904 67936 71368 93412 98131 135872 142736 156523 186824 196262 285472 313046 373648 392524 570944 626092 747296 785048 1252184 1494592 1570096 1721753 2504368 3140192 3443506 5008736 6280384 6887012 10017472 13774024 18939283 27548048 37878566 55096096 75757132 110192192 151514264 303028528 606057056 1212114112