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1200220020100 = 225222769527129
BaseRepresentation
bin10001011101110010101…
…100000001110110000100
311020201222101201021211001
4101131302230001312010
5124131022311120400
62315212400223044
7152466366562033
oct21356254016604
94221871637731
101200220020100
11423012a03492
1217473b30aa84
138924606160a
144213b83c71a
152134919ba6a
hex11772b01d84

1200220020100 has 36 divisors (see below), whose sum is σ = 2604596771700. Its totient is φ = 480066012160.

The previous prime is 1200220020089. The next prime is 1200220020119. The reversal of 1200220020100 is 10200220021.

It can be written as a sum of positive squares in 6 ways, for example, as 368300906884 + 831919113216 = 606878^2 + 912096^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2013336 + ... + 2540464.

It is an arithmetic number, because the mean of its divisors is an integer number (72349910325).

Almost surely, 21200220020100 is an apocalyptic number.

1200220020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200220020100 is an abundant number, since it is smaller than the sum of its proper divisors (1404376751600).

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

1200220020100 is a wasteful number, since it uses less digits than its factorization.

1200220020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549912 (or 549905 counting only the distinct ones).

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

Adding to 1200220020100 its reverse (10200220021), we get a palindrome (1210420240121).

The spelling of 1200220020100 in words is "one trillion, two hundred billion, two hundred twenty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 22769 45538 91076 113845 227690 455380 527129 569225 1054258 1138450 2108516 2276900 2635645 5271290 10542580 13178225 26356450 52712900 12002200201 24004400402 48008800804 60011001005 120022002010 240044004020 300055005025 600110010050 1200220020100