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1221200020200 = 233527327881279
BaseRepresentation
bin10001110001010101001…
…100011000001011101000
311022202010112021201110210
4101301111030120023220
5130002004201121300
62333002254341120
7154141321621056
oct21612514301350
94282115251423
101221200020200
114309a9636046
121788154ba7a0
138b20a793064
144316bd471d6
1521b75e98050
hex11c553182e8

1221200020200 has 96 divisors (see below), whose sum is σ = 3837579379200. Its totient is φ = 321192322560.

The previous prime is 1221200020171. The next prime is 1221200020213. The reversal of 1221200020200 is 20200021221.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13896840 + ... + 13984439.

It is an arithmetic number, because the mean of its divisors is an integer number (39974785200).

Almost surely, 21221200020200 is an apocalyptic number.

1221200020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221200020200 is an abundant number, since it is smaller than the sum of its proper divisors (2616379359000).

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

1221200020200 is a wasteful number, since it uses less digits than its factorization.

1221200020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27881371 (or 27881362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1221200020200 its reverse (20200021221), we get a palindrome (1241400041421).

The spelling of 1221200020200 in words is "one trillion, two hundred twenty-one billion, two hundred million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 146 150 200 219 292 300 365 438 584 600 730 876 1095 1460 1752 1825 2190 2920 3650 4380 5475 7300 8760 10950 14600 21900 43800 27881279 55762558 83643837 111525116 139406395 167287674 223050232 278812790 334575348 418219185 557625580 669150696 697031975 836438370 1115251160 1394063950 1672876740 2035333367 2091095925 2788127900 3345753480 4070666734 4182191850 5576255800 6106000101 8141333468 8364383700 10176666835 12212000202 16282666936 16728767400 20353333670 24424000404 30530000505 40706667340 48848000808 50883334175 61060001010 81413334680 101766668350 122120002020 152650002525 203533336700 244240004040 305300005050 407066673400 610600010100 1221200020200