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120013212 = 223112633457
BaseRepresentation
bin1110010011101…
…00000110011100
322100211022011210
413021310012130
5221210410322
615524144420
72655044514
oct711640634
9270738153
10120013212
1161820780
1234238110
131bb2cc47
1411d20844
15a80970c
hex727419c

120013212 has 48 divisors (see below), whose sum is σ = 306738432. Its totient is φ = 36218880.

The previous prime is 120013211. The next prime is 120013219. The reversal of 120013212 is 212310021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32988 + ... + 36444.

It is an arithmetic number, because the mean of its divisors is an integer number (6390384).

Almost surely, 2120013212 is an apocalyptic number.

120013212 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 120013212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153369216).

120013212 is an abundant number, since it is smaller than the sum of its proper divisors (186725220).

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

120013212 is a wasteful number, since it uses less digits than its factorization.

120013212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 120013212 is about 10955.0541760413. The cubic root of 120013212 is about 493.2605161984.

Adding to 120013212 its reverse (212310021), we get a palindrome (332323233).

The spelling of 120013212 in words is "one hundred twenty million, thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 263 526 789 1052 1578 2893 3156 3457 5786 6914 8679 10371 11572 13828 17358 20742 34716 38027 41484 76054 114081 152108 228162 456324 909191 1818382 2727573 3636764 5455146 10001101 10910292 20002202 30003303 40004404 60006606 120013212