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12021002211300 = 22352712812008421
BaseRepresentation
bin1010111011101101101110…
…0100010000111111100100
31120120012022022102222111020
42232323123210100333210
53033423003031230200
641322212220211140
72350326432610155
oct256733344207744
946505268388436
1012021002211300
1139150953a8025
121421901399ab0
136927638ca054
142d7b6902992c
1515ca61b57ea0
hexaeedb910fe4

12021002211300 has 144 divisors (see below), whose sum is σ = 35396172249984. Its totient is φ = 3149202560000.

The previous prime is 12021002211289. The next prime is 12021002211301. The reversal of 12021002211300 is 311220012021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12021002211300.

It is not an unprimeable number, because it can be changed into a prime (12021002211301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4981090 + ... + 6989510.

It is an arithmetic number, because the mean of its divisors is an integer number (245806751736).

Almost surely, 212021002211300 is an apocalyptic number.

12021002211300 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 12021002211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17698086124992).

12021002211300 is an abundant number, since it is smaller than the sum of its proper divisors (23375170038684).

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

12021002211300 is a wasteful number, since it uses less digits than its factorization.

12021002211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008790 (or 2008783 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12021002211300 its reverse (311220012021), we get a palindrome (12332222223321).

The spelling of 12021002211300 in words is "twelve trillion, twenty-one billion, two million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 281 284 300 355 426 562 710 843 852 1065 1124 1405 1420 1686 1775 2130 2810 3372 3550 4215 4260 5325 5620 7025 7100 8430 10650 14050 16860 19951 21075 21300 28100 39902 42150 59853 79804 84300 99755 119706 199510 239412 299265 399020 498775 598530 997550 1197060 1496325 1995100 2008421 2992650 4016842 5985300 6025263 8033684 10042105 12050526 20084210 24101052 30126315 40168420 50210525 60252630 100421050 120505260 142597891 150631575 200842100 285195782 301263150 427793673 564366301 570391564 602526300 712989455 855587346 1128732602 1425978910 1693098903 1711174692 2138968365 2257465204 2821831505 2851957820 3386197806 3564947275 4277936730 5643663010 6772395612 7129894550 8465494515 8555873460 10694841825 11287326020 14109157525 14259789100 16930989030 21389683650 28218315050 33861978060 40070007371 42327472575 42779367300 56436630100 80140014742 84654945150 120210022113 160280029484 169309890300 200350036855 240420044226 400700073710 480840088452 601050110565 801400147420 1001750184275 1202100221130 2003500368550 2404200442260 3005250552825 4007000737100 6010501105650 12021002211300