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12321032200 = 2352176315743
BaseRepresentation
bin10110111100110010…
…00000100000001000
31011210200012021201221
423132121000200020
5200213141012300
65354334251424
7614220021451
oct133631004010
934720167657
1012321032200
1152529a0944
12247a356b74
1312148177c9
1484c508128
154c1a3631a
hex2de640808

12321032200 has 96 divisors (see below), whose sum is σ = 30384840960. Its totient is φ = 4630348800.

The previous prime is 12321032197. The next prime is 12321032257. The reversal of 12321032200 is 223012321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2142529 + ... + 2148271.

It is an arithmetic number, because the mean of its divisors is an integer number (316508760).

Almost surely, 212321032200 is an apocalyptic number.

12321032200 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 12321032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15192420480).

12321032200 is an abundant number, since it is smaller than the sum of its proper divisors (18063808760).

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

12321032200 is a wasteful number, since it uses less digits than its factorization.

12321032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6407 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12321032200 its reverse (223012321), we get a palindrome (12544044521).

The spelling of 12321032200 in words is "twelve billion, three hundred twenty-one million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 631 680 850 1262 1700 2524 3155 3400 5048 5743 6310 10727 11486 12620 15775 21454 22972 25240 28715 31550 42908 45944 53635 57430 63100 85816 97631 107270 114860 126200 143575 195262 214540 229720 268175 287150 390524 429080 488155 536350 574300 781048 976310 1072700 1148600 1952620 2145400 2440775 3623833 3905240 4881550 7247666 9763100 14495332 18119165 19526200 28990664 36238330 61605161 72476660 90595825 123210322 144953320 181191650 246420644 308025805 362383300 492841288 616051610 724766600 1232103220 1540129025 2464206440 3080258050 6160516100 12321032200