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12332312320 = 285109157563
BaseRepresentation
bin10110111110001000…
…00010011100000000
31011211110102101011011
423133010002130000
5200224032443240
65355420130304
7614414632216
oct133704023400
934743371134
1012332312320
1152592a5859
122482096994
131216c66c33
1484dc02cb6
154c2a136ea
hex2df102700

12332312320 has 144 divisors (see below), whose sum is σ = 30053913120. Its totient is φ = 4847910912.

The previous prime is 12332312303. The next prime is 12332312341. The reversal of 12332312320 is 2321323321.

It is a junction number, because it is equal to n+sod(n) for n = 12332312291 and 12332312300.

It is a congruent number.

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, 21904359 + ... + 21904921.

It is an arithmetic number, because the mean of its divisors is an integer number (208707730).

Almost surely, 212332312320 is an apocalyptic number.

12332312320 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 12332312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15026956560).

12332312320 is an abundant number, since it is smaller than the sum of its proper divisors (17721600800).

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

12332312320 is a wasteful number, since it uses less digits than its factorization.

12332312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12332312320 its reverse (2321323321), we get a palindrome (14653635641).

The spelling of 12332312320 in words is "twelve billion, three hundred thirty-two million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 157 160 218 256 314 320 436 545 563 628 640 785 872 1090 1126 1256 1280 1570 1744 2180 2252 2512 2815 3140 3488 4360 4504 5024 5630 6280 6976 8720 9008 10048 11260 12560 13952 17113 17440 18016 20096 22520 25120 27904 34226 34880 36032 40192 45040 50240 61367 68452 69760 72064 85565 88391 90080 100480 122734 136904 139520 144128 171130 176782 180160 200960 245468 273808 306835 342260 353564 360320 441955 490936 547616 613670 684520 707128 720640 883910 981872 1095232 1227340 1369040 1414256 1767820 1963744 2190464 2454680 2738080 2828512 3535640 3927488 4380928 4909360 5476160 5657024 7071280 7854976 9634619 9818720 10952320 11314048 14142560 15709952 19269238 19637440 21904640 22628096 28285120 38538476 39274880 48173095 56570240 77076952 78549760 96346190 113140480 154153904 192692380 308307808 385384760 616615616 770769520 1233231232 1541539040 2466462464 3083078080 6166156160 12332312320