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12312912 = 2431923587
BaseRepresentation
bin101110111110…
…000101010000
3212011120010210
4232332011100
511123003122
61115524120
7206441463
oct56760520
925146123
1012312912
116a4a967
124159640
132721561
1418c72da
15113340c
hexbbe150

12312912 has 80 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 3712896.

The previous prime is 12312901. The next prime is 12312917. The reversal of 12312912 is 21921321.

12312912 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20683 + ... + 21269.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 212312912 is an apocalyptic number.

12312912 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 12312912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

12312912 is an abundant number, since it is smaller than the sum of its proper divisors (22684848).

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

12312912 is a wasteful number, since it uses less digits than its factorization.

12312912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

The square root of 12312912 is about 3508.9759189826. The cubic root of 12312912 is about 230.9157692190.

The spelling of 12312912 in words is "twelve million, three hundred twelve thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 368 437 456 552 587 874 912 1104 1174 1311 1748 1761 2348 2622 3496 3522 4696 5244 6992 7044 9392 10488 11153 13501 14088 20976 22306 27002 28176 33459 40503 44612 54004 66918 81006 89224 108008 133836 162012 178448 216016 256519 267672 324024 513038 535344 648048 769557 1026076 1539114 2052152 3078228 4104304 6156456 12312912