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12042321012 = 22324753134287
BaseRepresentation
bin10110011011100011…
…10011110001110100
31011002020202021212100
423031301303301310
5144130313233022
65310540422100
7604264016421
oct131561636164
934066667770
1012042321012
11511a638017
122400b47930
13119bb61947
148234b6d48
154a73301ac
hex2cdc73c74

12042321012 has 72 divisors (see below), whose sum is σ = 31674779136. Its totient is φ = 3854545344.

The previous prime is 12042320999. The next prime is 12042321013. The reversal of 12042321012 is 21012324021.

It is a happy number.

12042321012 is a `hidden beast` number, since 1 + 20 + 423 + 210 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042321013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22533 + ... + 156819.

It is an arithmetic number, because the mean of its divisors is an integer number (439927488).

Almost surely, 212042321012 is an apocalyptic number.

12042321012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12042321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15837389568).

12042321012 is an abundant number, since it is smaller than the sum of its proper divisors (19632458124).

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

12042321012 is a wasteful number, since it uses less digits than its factorization.

12042321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134397 (or 134392 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12042321012 its reverse (21012324021), we get a palindrome (33054645033).

The spelling of 12042321012 in words is "twelve billion, forty-two million, three hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 53 94 106 141 159 188 212 282 318 423 477 564 636 846 954 1692 1908 2491 4982 7473 9964 14946 22419 29892 44838 89676 134287 268574 402861 537148 805722 1208583 1611444 2417166 4834332 6311489 7117211 12622978 14234422 18934467 21351633 25245956 28468844 37868934 42703266 56803401 64054899 75737868 85406532 113606802 128109798 227213604 256219596 334508917 669017834 1003526751 1338035668 2007053502 3010580253 4014107004 6021160506 12042321012