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12206312384 = 26729740127
BaseRepresentation
bin10110101111000110…
…11000101111000000
31011111200022220201212
423113203120233000
5144444303444014
65335115345252
7611324641400
oct132743305700
934450286655
1012206312384
1151a4166182
122447a52228
1311c6b1c066
1483b1a4800
154b692523e
hex2d78d8bc0

12206312384 has 84 divisors (see below), whose sum is σ = 28467686016. Its totient is φ = 5177217024.

The previous prime is 12206312381. The next prime is 12206312429. The reversal of 12206312384 is 48321360221.

12206312384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12206312384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12206312381) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 284129 + ... + 324255.

It is an arithmetic number, because the mean of its divisors is an integer number (338901024).

Almost surely, 212206312384 is an apocalyptic number.

12206312384 is a gapful number since it is divisible by the number (14) 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 12206312384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14233843008).

12206312384 is an abundant number, since it is smaller than the sum of its proper divisors (16261373632).

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

12206312384 is an equidigital number, since it uses as much as digits as its factorization.

12206312384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40250 (or 40233 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 12206312384 in words is "twelve billion, two hundred six million, three hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 97 98 112 194 196 224 388 392 448 679 776 784 1358 1552 1568 2716 3104 3136 4753 5432 6208 9506 10864 19012 21728 38024 40127 43456 76048 80254 152096 160508 280889 304192 321016 561778 642032 1123556 1284064 1966223 2247112 2568128 3892319 3932446 4494224 7784638 7864892 8988448 15569276 15729784 17976896 27246233 31138552 31459568 54492466 62277104 62919136 108984932 124554208 125838272 190723631 217969864 249108416 381447262 435939728 762894524 871879456 1525789048 1743758912 3051578096 6103156192 12206312384