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120102312 = 233111632791
BaseRepresentation
bin1110010100010…
…01110110101000
322100222211101210
413022021312220
5221221233222
615530113120
72655565341
oct712116650
9270884353
10120102312
1161881710
123427b7a0
131bb61675
1411d450c8
15a825d0c
hex7289da8

120102312 has 64 divisors (see below), whose sum is σ = 329679360. Its totient is φ = 36158400.

The previous prime is 120102239. The next prime is 120102319. The reversal of 120102312 is 213201021.

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

It is not an unprimeable number, because it can be changed into a prime (120102319) 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, 41637 + ... + 44427.

It is an arithmetic number, because the mean of its divisors is an integer number (5151240).

Almost surely, 2120102312 is an apocalyptic number.

120102312 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 120102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164839680).

120102312 is an abundant number, since it is smaller than the sum of its proper divisors (209577048).

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

120102312 is a wasteful number, since it uses less digits than its factorization.

120102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2970 counting only the distinct ones).

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

The square root of 120102312 is about 10959.1200376673. The cubic root of 120102312 is about 493.3825545402.

Adding to 120102312 its reverse (213201021), we get a palindrome (333303333).

The spelling of 120102312 in words is "one hundred twenty million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 163 264 326 489 652 978 1304 1793 1956 2791 3586 3912 5379 5582 7172 8373 10758 11164 14344 16746 21516 22328 30701 33492 43032 61402 66984 92103 122804 184206 245608 368412 454933 736824 909866 1364799 1819732 2729598 3639464 5004263 5459196 10008526 10918392 15012789 20017052 30025578 40034104 60051156 120102312