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12010012200 = 2332526672229
BaseRepresentation
bin10110010111101101…
…00011111000101000
31010222222221211111200
423023312203320220
5144044030342300
65303424124200
7603422263554
oct131366437050
933888854450
1012010012200
11510337aa1a
1223b2166660
13119525bac4
1481d0a6864
154a459c200
hex2cbda3e28

12010012200 has 72 divisors (see below), whose sum is σ = 40333630350. Its totient is φ = 3202669440.

The previous prime is 12010012181. The next prime is 12010012303. The reversal of 12010012200 is 221001021.

It can be written as a sum of positive squares in 3 ways, for example, as 4345710084 + 7664302116 = 65922^2 + 87546^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3334315 + ... + 3337914.

Almost surely, 212010012200 is an apocalyptic number.

12010012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010012200 is an abundant number, since it is smaller than the sum of its proper divisors (28323618150).

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

12010012200 is a wasteful number, since it uses less digits than its factorization.

12010012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672251 (or 6672239 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12010012200 its reverse (221001021), we get a palindrome (12231013221).

The spelling of 12010012200 in words is "twelve billion, ten million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 6672229 13344458 20016687 26688916 33361145 40033374 53377832 60050061 66722290 80066748 100083435 120100122 133444580 160133496 166805725 200166870 240200244 266889160 300250305 333611450 400333740 480400488 500417175 600500610 667222900 800667480 1000834350 1201001220 1334445800 1501251525 2001668700 2402002440 3002503050 4003337400 6005006100 12010012200