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1000112221200 = 243521018251751
BaseRepresentation
bin11101000110110110101…
…01010110110000010000
310112121110112120212000210
432203123111112300100
5112341212212034300
62043240055444120
7132153466421361
oct16433325266020
93477415525023
101000112221200
11356166304394
121419b3686640
13734055cac11
14365972d9b68
151b036532050
hexe8db556c10

1000112221200 has 120 divisors (see below), whose sum is σ = 3235412938176. Its totient is φ = 264056000000.

The previous prime is 1000112221183. The next prime is 1000112221243. The reversal of 1000112221200 is 21222110001.

It is a tau number, because it is divible by the number of its divisors (120).

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4004676 + ... + 4247075.

Almost surely, 21000112221200 is an apocalyptic number.

1000112221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000112221200 is an abundant number, since it is smaller than the sum of its proper divisors (2235300716976).

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

1000112221200 is a wasteful number, since it uses less digits than its factorization.

1000112221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251873 (or 8251862 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000112221200 its reverse (21222110001), we get a palindrome (1021334331201).

The spelling of 1000112221200 in words is "one trillion, one hundred twelve million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 101 120 150 200 202 240 300 303 400 404 505 600 606 808 1010 1200 1212 1515 1616 2020 2424 2525 3030 4040 4848 5050 6060 7575 8080 10100 12120 15150 20200 24240 30300 40400 60600 121200 8251751 16503502 24755253 33007004 41258755 49510506 66014008 82517510 99021012 123776265 132028016 165035020 198042024 206293775 247552530 330070040 396084048 412587550 495105060 618881325 660140080 825175100 833426851 990210120 1237762650 1650350200 1666853702 1980420240 2475525300 2500280553 3300700400 3333707404 4167134255 4951050600 5000561106 6667414808 8334268510 9902101200 10001122212 12501402765 13334829616 16668537020 20002244424 20835671275 25002805530 33337074040 40004488848 41671342550 50005611060 62507013825 66674148080 83342685100 100011222120 125014027650 166685370200 200022444240 250028055300 333370740400 500056110600 1000112221200