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12021020212200 = 23352139144136933
BaseRepresentation
bin1010111011101101110010…
…1000111011101111101000
31120120012100120022112002020
42232323130220323233220
53033423022133242300
641322214102104440
72350330041612006
oct256733450735750
946505316275066
1012021020212200
1139150a45823aa
12142190741b120
1369276756057c
142d7b6b593a76
1515ca635118a0
hexaeedca3bbe8

12021020212200 has 96 divisors (see below), whose sum is σ = 37533257613600. Its totient is φ = 3182543458560.

The previous prime is 12021020212183. The next prime is 12021020212273. The reversal of 12021020212200 is 221202012021.

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 12021020212200.

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, 71985067 + ... + 72151866.

It is an arithmetic number, because the mean of its divisors is an integer number (390971433475).

Almost surely, 212021020212200 is an apocalyptic number.

12021020212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021020212200 is an abundant number, since it is smaller than the sum of its proper divisors (25512237401400).

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

12021020212200 is a wasteful number, since it uses less digits than its factorization.

12021020212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144137091 (or 144137082 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12021020212200 its reverse (221202012021), we get a palindrome (12242222224221).

The spelling of 12021020212200 in words is "twelve trillion, twenty-one billion, twenty million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 139 150 200 278 300 417 556 600 695 834 1112 1390 1668 2085 2780 3336 3475 4170 5560 6950 8340 10425 13900 16680 20850 27800 41700 83400 144136933 288273866 432410799 576547732 720684665 864821598 1153095464 1441369330 1729643196 2162053995 2882738660 3459286392 3603423325 4324107990 5765477320 7206846650 8648215980 10810269975 14413693300 17296431960 20035033687 21620539950 28827386600 40070067374 43241079900 60105101061 80140134748 86482159800 100175168435 120210202122 160280269496 200350336870 240420404244 300525505305 400700673740 480840808488 500875842175 601051010610 801401347480 1001751684350 1202102021220 1502627526525 2003503368700 2404204042440 3005255053050 4007006737400 6010510106100 12021020212200