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123069312 = 2732472273
BaseRepresentation
bin1110101010111…
…10001110000000
322120120120100200
413111132032000
5223001204222
620113445200
73023033442
oct725361600
9276516320
10123069312
1163518883
1235270800
131c65cca2
14124b8492
15ac0eeac
hex755e380

123069312 has 96 divisors (see below), whose sum is σ = 361838880. Its totient is φ = 40132608.

The previous prime is 123069299. The next prime is 123069319. The reversal of 123069312 is 213960321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123069319) 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 11 ways as a sum of consecutive naturals, for example, 53008 + ... + 55280.

It is an arithmetic number, because the mean of its divisors is an integer number (3769155).

Almost surely, 2123069312 is an apocalyptic number.

123069312 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 123069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180919440).

123069312 is an abundant number, since it is smaller than the sum of its proper divisors (238769568).

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

123069312 is a wasteful number, since it uses less digits than its factorization.

123069312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 123069312 is about 11093.6608925999. The cubic root of 123069312 is about 497.4123808895.

The spelling of 123069312 in words is "one hundred twenty-three million, sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 282 288 376 384 423 564 576 752 846 1128 1152 1504 1692 2256 2273 3008 3384 4512 4546 6016 6768 6819 9024 9092 13536 13638 18048 18184 20457 27072 27276 36368 40914 54144 54552 72736 81828 106831 109104 145472 163656 213662 218208 290944 320493 327312 427324 436416 640986 654624 854648 872832 961479 1281972 1309248 1709296 1922958 2563944 2618496 3418592 3845916 5127888 6837184 7691832 10255776 13674368 15383664 20511552 30767328 41023104 61534656 123069312