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12066138800 = 245230165347
BaseRepresentation
bin10110011110011001…
…01010101010110000
31011010220120100201122
423033030222222300
5144202412420200
65313151121412
7605003326142
oct131714525260
934126510648
1012066138800
115132025741
122408b13268
1311a3a80a01
14826716c92
154a9487385
hex2cf32aab0

12066138800 has 30 divisors (see below), whose sum is σ = 28988899428. Its totient is φ = 4826455360.

The previous prime is 12066138769. The next prime is 12066138817. The reversal of 12066138800 is 883166021.

12066138800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 5 ways as a sum of consecutive naturals, for example, 15082274 + ... + 15083073.

Almost surely, 212066138800 is an apocalyptic number.

12066138800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12066138800 is an abundant number, since it is smaller than the sum of its proper divisors (16922760628).

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

12066138800 is a wasteful number, since it uses less digits than its factorization.

12066138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30165365 (or 30165354 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 12066138800 in words is "twelve billion, sixty-six million, one hundred thirty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 30165347 60330694 120661388 150826735 241322776 301653470 482645552 603306940 754133675 1206613880 1508267350 2413227760 3016534700 6033069400 12066138800