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12302321221000 = 2353591931080383
BaseRepresentation
bin1011001100000101101101…
…1111000111110110001000
31121120002102220210101010201
42303001123133013312020
53103030123213033000
642055335223021544
72406545663002126
oct263013337076610
947502386711121
1012302321221000
113a13426676868
12146833259a8b4
136b31473b3735
14307615114916
1516502929396a
hexb305b7c7d88

12302321221000 has 128 divisors (see below), whose sum is σ = 29427067238400. Its totient is φ = 4812453580800.

The previous prime is 12302321220971. The next prime is 12302321221019. The reversal of 12302321221000 is 12212320321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10846809 + ... + 11927191.

It is an arithmetic number, because the mean of its divisors is an integer number (229898962800).

Almost surely, 212302321221000 is an apocalyptic number.

12302321221000 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 12302321221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14713533619200).

12302321221000 is an abundant number, since it is smaller than the sum of its proper divisors (17124746017400).

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

12302321221000 is a wasteful number, since it uses less digits than its factorization.

12302321221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080656 (or 1080642 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12302321221000 its reverse (12212320321), we get a palindrome (12314533541321).

The spelling of 12302321221000 in words is "twelve trillion, three hundred two billion, three hundred twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 193 200 236 250 295 386 472 500 590 772 965 1000 1180 1475 1544 1930 2360 2950 3860 4825 5900 7375 7720 9650 11387 11800 14750 19300 22774 24125 29500 38600 45548 48250 56935 59000 91096 96500 113870 193000 227740 284675 455480 569350 1080383 1138700 1423375 2160766 2277400 2846750 4321532 5401915 5693500 8643064 10803830 11387000 21607660 27009575 43215320 54019150 63742597 108038300 127485194 135047875 208513919 216076600 254970388 270095750 318712985 417027838 509940776 540191500 637425970 834055676 1042569595 1080383000 1274851940 1593564925 1668111352 2085139190 2549703880 3187129850 4170278380 5212847975 6374259700 7967824625 8340556760 10425695950 12302321221 12748519400 15935649250 20851391900 24604642442 26064239875 31871298500 41702783800 49209284884 52128479750 61511606105 63742597000 98418569768 104256959500 123023212210 208513919000 246046424420 307558030525 492092848840 615116061050 1230232122100 1537790152625 2460464244200 3075580305250 6151160610500 12302321221000