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12021200021000 = 2353171574504009
BaseRepresentation
bin1010111011101110011101…
…0110110110011000001000
31120120012211002122202101102
42232323213112312120020
53033423404201133000
641322244004040532
72350334354142632
oct256734726663010
946505732582342
1012021200021000
113915187024415
121421957693148
13692795898401
142d7b873dba52
1515ca741cd3d5
hexaeee75b6608

12021200021000 has 128 divisors (see below), whose sum is σ = 29974006389600. Its totient is φ = 4496801587200.

The previous prime is 12021200020979. The next prime is 12021200021021. The reversal of 12021200021000 is 12000212021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12021200020979) and next prime (12021200021021).

It can be written as a sum of positive squares in 16 ways, for example, as 2433593760004 + 9587606260996 = 1559998^2 + 3096386^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416996 + ... + 4921004.

Almost surely, 212021200021000 is an apocalyptic number.

12021200021000 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 12021200021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14987003194800).

12021200021000 is an abundant number, since it is smaller than the sum of its proper divisors (17952806368600).

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

12021200021000 is a wasteful number, since it uses less digits than its factorization.

12021200021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504204 (or 4504190 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 12021200021000 its reverse (12000212021), we get a palindrome (12033200233021).

The spelling of 12021200021000 in words is "twelve trillion, twenty-one billion, two hundred million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 157 170 200 250 314 340 425 500 628 680 785 850 1000 1256 1570 1700 2125 2669 3140 3400 3925 4250 5338 6280 7850 8500 10676 13345 15700 17000 19625 21352 26690 31400 39250 53380 66725 78500 106760 133450 157000 266900 333625 533800 667250 1334500 2669000 4504009 9008018 18016036 22520045 36032072 45040090 76568153 90080180 112600225 153136306 180160360 225200450 306272612 382840765 450400900 563001125 612545224 707129413 765681530 900801800 1126002250 1414258826 1531363060 1914203825 2252004500 2828517652 3062726120 3535647065 3828407650 4504009000 5657035304 7071294130 7656815300 9571019125 12021200021 14142588260 15313630600 17678235325 19142038250 24042400042 28285176520 35356470650 38284076500 48084800084 60106000105 70712941300 76568153000 88391176625 96169600168 120212000210 141425882600 176782353250 240424000420 300530000525 353564706500 480848000840 601060001050 707129413000 1202120002100 1502650002625 2404240004200 3005300005250 6010600010500 12021200021000