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12000230300322 = 2341119523677683
BaseRepresentation
bin1010111010100000010101…
…1101101101101010100010
31120111012200200102120110000
42232220011131231222202
53033102432424102242
641304455114120430
72345662615356015
oct256500535555242
946435620376400
1012000230300322
1139072a6182950
121419884a20116
13690803325774
142d6b5840b37c
1515c248262a4c
hexaea0576daa2

12000230300322 has 160 divisors (see below), whose sum is σ = 30936870961920. Its totient is φ = 3438450038880.

The previous prime is 12000230300249. The next prime is 12000230300413. The reversal of 12000230300322 is 22300303200021.

It is a happy number.

12000230300322 is a `hidden beast` number, since 1 + 20 + 0 + 0 + 23 + 0 + 300 + 322 = 666.

12000230300322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12000230300295 and 12000230300304.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17368893 + ... + 18046575.

It is an arithmetic number, because the mean of its divisors is an integer number (193355443512).

Almost surely, 212000230300322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000230300322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15468435480960).

12000230300322 is an abundant number, since it is smaller than the sum of its proper divisors (18936640661598).

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

12000230300322 is a wasteful number, since it uses less digits than its factorization.

12000230300322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678250 (or 678241 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 12000230300322 its reverse (22300303200021), we get a palindrome (34300533500343).

The spelling of 12000230300322 in words is "twelve trillion, two hundred thirty million, three hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 342 418 513 523 594 627 891 1026 1046 1254 1539 1569 1782 1881 3078 3138 3762 4707 5643 5753 9414 9937 11286 11506 14121 16929 17259 19874 28242 29811 33858 34518 42363 51777 59622 84726 89433 103554 109307 155331 178866 218614 268299 310662 327921 465993 536598 655842 677683 804897 931986 983763 1355366 1609794 1967526 2033049 2951289 4066098 5902578 6099147 7454513 8853867 12198294 12875977 14909026 17707734 18297441 22363539 25751954 36594882 38627931 44727078 54892323 67090617 77255862 109784646 115883793 134181234 141635747 201271851 231767586 283271494 347651379 354428209 402543702 424907241 603815553 695302758 708856418 849814482 1042954137 1063284627 1207631106 1274721723 2085908274 2126569254 2549443446 3189853881 3824165169 3898710299 6379707762 6734135971 7648330338 7797420598 9569561643 11472495507 11696130897 13468271942 19139123286 20202407913 22944991014 23392261794 28708684929 35088392691 40404815826 57417369858 60607223739 70176785382 74075495681 105265178073 121214447478 148150991362 181821671217 210530356146 222226487043 315795534219 363643342434 444452974086 545465013651 631591068438 666679461129 1090930027302 1333358922258 2000038383387 4000076766774 6000115150161 12000230300322