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120140712 = 23331015507
BaseRepresentation
bin1110010100100…
…11001110101000
322101001210002000
413022103032220
5221224000322
615531011000
72656115316
oct712231650
9271053060
10120140712
11618a854a
1234299a60
131bb75ca3
1411d550b6
15a8323ac
hex72933a8

120140712 has 64 divisors (see below), whose sum is σ = 337089600. Its totient is φ = 39643200.

The previous prime is 120140687. The next prime is 120140723. The reversal of 120140712 is 217041021.

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

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, 19063 + ... + 24569.

It is an arithmetic number, because the mean of its divisors is an integer number (5267025).

Almost surely, 2120140712 is an apocalyptic number.

120140712 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 120140712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168544800).

120140712 is an abundant number, since it is smaller than the sum of its proper divisors (216948888).

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

120140712 is a wasteful number, since it uses less digits than its factorization.

120140712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623 (or 5613 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 120140712 is about 10960.8718631321. The cubic root of 120140712 is about 493.4351315777.

Adding to 120140712 its reverse (217041021), we get a palindrome (337181733).

The spelling of 120140712 in words is "one hundred twenty million, one hundred forty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2424 2727 3636 5454 5507 7272 10908 11014 16521 21816 22028 33042 44056 49563 66084 99126 132168 148689 198252 297378 396504 556207 594756 1112414 1189512 1668621 2224828 3337242 4449656 5005863 6674484 10011726 13348968 15017589 20023452 30035178 40046904 60070356 120140712