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12003003013221 = 32112326141201653
BaseRepresentation
bin1010111010101010101010…
…1110110001100001100101
31120111110211220202222111100
42232222222232301201211
53033124122232410341
641310034203030313
72346121414135053
oct256525256614145
946443756688440
1012003003013221
113908499313110
12141a31950b399
13690b558ba79c
142d6d3c76b1d3
1515c35b8ac3b6
hexaeaaabb1865

12003003013221 has 48 divisors (see below), whose sum is σ = 19737015921792. Its totient is φ = 6957961929600.

The previous prime is 12003003013193. The next prime is 12003003013229. The reversal of 12003003013221 is 12231030030021.

12003003013221 is a `hidden beast` number, since 1 + 200 + 300 + 30 + 132 + 2 + 1 = 666.

It is not a de Polignac number, because 12003003013221 - 27 = 12003003013093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12003003013194 and 12003003013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003003013229) by changing a digit.

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, 59422231 + ... + 59623883.

It is an arithmetic number, because the mean of its divisors is an integer number (411187831704).

Almost surely, 212003003013221 is an apocalyptic number.

12003003013221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12003003013221 is a deficient number, since it is larger than the sum of its proper divisors (7734012908571).

12003003013221 is a wasteful number, since it uses less digits than its factorization.

12003003013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227834 (or 227831 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12003003013221 its reverse (12231030030021), we get a palindrome (24234033043242).

The spelling of 12003003013221 in words is "twelve trillion, three billion, three million, thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 26141 78423 201653 235269 287551 601243 604959 862653 1803729 1814877 2218183 2587959 4638019 5411187 6613673 6654549 13914057 19841019 19963647 41742171 51018209 59523057 153054627 459163881 5271411073 15814233219 47442699657 57985521803 121242454679 173956565409 363727364037 521869696227 1091182092111 1333667001469 4001001004407 12003003013221