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1201221212200 = 235279347219097
BaseRepresentation
bin10001011110101110010…
…111010001100000101000
311020211120011122010011221
4101132232113101200220
5124140100112242300
62315500003231424
7152533244556322
oct21365627214050
94224504563157
101201221212200
11423487070979
1217497a678574
13893755c8289
14421d47ba612
15213a701631a
hex117ae5d1828

1201221212200 has 96 divisors (see below), whose sum is σ = 2836355068800. Its totient is φ = 473037027840.

The previous prime is 1201221212171. The next prime is 1201221212239. The reversal of 1201221212200 is 22121221021.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5373052 + ... + 5592148.

It is an arithmetic number, because the mean of its divisors is an integer number (29545365300).

Almost surely, 21201221212200 is an apocalyptic number.

1201221212200 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 1201221212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418177534400).

1201221212200 is an abundant number, since it is smaller than the sum of its proper divisors (1635133856600).

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

1201221212200 is a wasteful number, since it uses less digits than its factorization.

1201221212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219539 (or 219530 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1201221212200 its reverse (22121221021), we get a palindrome (1223342433221).

The spelling of 1201221212200 in words is "one trillion, two hundred one billion, two hundred twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 158 200 316 347 395 632 694 790 1388 1580 1735 1975 2776 3160 3470 3950 6940 7900 8675 13880 15800 17350 27413 34700 54826 69400 109652 137065 219097 219304 274130 438194 548260 685325 876388 1095485 1096520 1370650 1752776 2190970 2741300 4381940 5477425 5482600 8763880 10954850 17308663 21909700 34617326 43819400 69234652 76026659 86543315 138469304 152053318 173086630 304106636 346173260 380133295 432716575 608213272 692346520 760266590 865433150 1520533180 1730866300 1900666475 3041066360 3461732600 3801332950 6006106061 7602665900 12012212122 15205331800 24024424244 30030530305 48048848488 60061060610 120122121220 150152651525 240244242440 300305303050 600610606100 1201221212200