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12000011332200 = 23352193728449529
BaseRepresentation
bin1010111010011111100001…
…1010011010101001101000
31120111012010102101211122120
42232213320122122221220
53033102010400112300
641304421252551240
72345654316231003
oct256477032325150
946435112354576
1012000011332200
1139071a3614961
121419823622520
13690799b59928
142d6b372cc53a
1515c233e0d3a0
hexae9f869aa68

12000011332200 has 192 divisors, whose sum is σ = 40216255608000. Its totient is φ = 2949647063040.

The previous prime is 12000011332193. The next prime is 12000011332259. The reversal of 12000011332200 is 223311000021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12000011332200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13802965 + ... + 14646564.

It is an arithmetic number, because the mean of its divisors is an integer number (209459664625).

Almost surely, 212000011332200 is an apocalyptic number.

12000011332200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000011332200 is an abundant number, since it is smaller than the sum of its proper divisors (28216244275800).

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

12000011332200 is a wasteful number, since it uses less digits than its factorization.

12000011332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28449604 (or 28449595 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12000011332200 its reverse (223311000021), we get a palindrome (12223322332221).

The spelling of 12000011332200 in words is "twelve trillion, eleven million, three hundred thirty-two thousand, two hundred".