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20012200001200 = 24521110634278671
BaseRepresentation
bin1001000110011011101000…
…00100100111111010110000
32121212010222121220210002001
410203031310010213322300
510110334441200014300
6110321251110303344
74133555654226331
oct443156404477260
977763877823061
1020012200001200
116416143202560
1222b25b9357b54
13b221b0a03264
144d284a65c288
1524a86ae6116a
hex123374127eb0

20012200001200 has 120 divisors (see below), whose sum is σ = 52499510816256. Its totient is φ = 7270316064000.

The previous prime is 20012200001197. The next prime is 20012200001201. The reversal of 20012200001200 is 210000221002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20012200001201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2537865 + ... + 6816535.

Almost surely, 220012200001200 is an apocalyptic number.

20012200001200 is a gapful number since it is divisible by the number (20) 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 20012200001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26249755408128).

20012200001200 is an abundant number, since it is smaller than the sum of its proper divisors (32487310815056).

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

20012200001200 is a wasteful number, since it uses less digits than its factorization.

20012200001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279763 (or 4279752 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20012200001200 its reverse (210000221002), we get a palindrome (20222200222202).

The spelling of 20012200001200 in words is "twenty trillion, twelve billion, two hundred million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1063 1100 2126 2200 4252 4400 5315 8504 10630 11693 17008 21260 23386 26575 42520 46772 53150 58465 85040 93544 106300 116930 187088 212600 233860 292325 425200 467720 584650 935440 1169300 2338600 4278671 4677200 8557342 17114684 21393355 34229368 42786710 47065381 68458736 85573420 94130762 106966775 171146840 188261524 213933550 235326905 342293680 376523048 427867100 470653810 753046096 855734200 941307620 1176634525 1711468400 1882615240 2353269050 3765230480 4548227273 4706538100 9096454546 9413076200 18192909092 18826152400 22741136365 36385818184 45482272730 50030500003 72771636368 90964545460 100061000006 113705681825 181929090920 200122000012 227411363650 250152500015 363858181840 400244000024 454822727300 500305000030 800488000048 909645454600 1000610000060 1250762500075 1819290909200 2001220000120 2501525000150 4002440000240 5003050000300 10006100000600 20012200001200