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12320331200 = 265222213467
BaseRepresentation
bin10110111100101100…
…10101010111000000
31011210121212200010222
423132112111113000
5200213001044300
65354311242212
7614211041642
oct133626252700
934717780128
1012320331200
115252562201
12247a079368
131214630708
1484c3a4892
154c1948785
hex2de5955c0

12320331200 has 84 divisors (see below), whose sum is σ = 30338112552. Its totient is φ = 4924492800.

The previous prime is 12320331197. The next prime is 12320331227. The reversal of 12320331200 is 213302321.

12320331200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3551867 + ... + 3555333.

Almost surely, 212320331200 is an apocalyptic number.

12320331200 is a gapful number since it is divisible by the number (10) 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 12320331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15169056276).

12320331200 is an abundant number, since it is smaller than the sum of its proper divisors (18017781352).

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

12320331200 is a wasteful number, since it uses less digits than its factorization.

12320331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12320331200 its reverse (213302321), we get a palindrome (12533633521).

The spelling of 12320331200 in words is "twelve billion, three hundred twenty million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 2221 3467 4442 6934 8884 11105 13868 17335 17768 22210 27736 34670 35536 44420 55472 55525 69340 71072 86675 88840 110944 111050 138680 142144 173350 177680 221888 222100 277360 346700 355360 444200 554720 693400 710720 888400 1109440 1386800 1776800 2773600 3553600 5547200 7700207 15400414 30800828 38501035 61601656 77002070 123203312 154004140 192505175 246406624 308008280 385010350 492813248 616016560 770020700 1232033120 1540041400 2464066240 3080082800 6160165600 12320331200