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120222312 = 23377110079
BaseRepresentation
bin1110010101001…
…11001001101000
322101012221000020
413022213021220
5221234103222
615532440440
72656605240
oct712471150
9271187006
10120222312
1161953891
1234319120
131bba4182
1411d76b20
15a84b65c
hex72a7268

120222312 has 64 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 33862080.

The previous prime is 120222301. The next prime is 120222331. The reversal of 120222312 is 213222021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120222291 and 120222300.

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 15 ways as a sum of consecutive naturals, for example, 6889 + ... + 16967.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2120222312 is an apocalyptic number.

120222312 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 120222312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

120222312 is an abundant number, since it is smaller than the sum of its proper divisors (228142488).

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

120222312 is a wasteful number, since it uses less digits than its factorization.

120222312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10166 (or 10162 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120222312 is about 10964.5935629188. The cubic root of 120222312 is about 493.5468205953.

Adding to 120222312 its reverse (213222021), we get a palindrome (333444333).

The spelling of 120222312 in words is "one hundred twenty million, two hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1988 2982 3976 5964 10079 11928 20158 30237 40316 60474 70553 80632 120948 141106 211659 241896 282212 423318 564424 715609 846636 1431218 1693272 2146827 2862436 4293654 5009263 5724872 8587308 10018526 15027789 17174616 20037052 30055578 40074104 60111156 120222312