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12021112314 = 23710127211
BaseRepresentation
bin10110011001000001…
…11001110111111010
31011000202211210000000
423030200321313322
5144104401043224
65304502053430
7603615524451
oct131440716772
934022753000
1012021112314
115109671672
1223b5a1a276
131197647313
14820755b98
154a55410c9
hex2cc839dfa

12021112314 has 64 divisors (see below), whose sum is σ = 27312140160. Its totient is φ = 3967218000.

The previous prime is 12021112307. The next prime is 12021112319. The reversal of 12021112314 is 41321112021.

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

It is not an unprimeable number, because it can be changed into a prime (12021112319) 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 31 ways as a sum of consecutive naturals, for example, 428169 + ... + 455379.

It is an arithmetic number, because the mean of its divisors is an integer number (426752190).

Almost surely, 212021112314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021112314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13656070080).

12021112314 is an abundant number, since it is smaller than the sum of its proper divisors (15291027846).

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

12021112314 is an equidigital number, since it uses as much as digits as its factorization.

12021112314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27335 (or 27317 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12021112314 its reverse (41321112021), we get a palindrome (53342224335).

The spelling of 12021112314 in words is "twelve billion, twenty-one million, one hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 303 486 606 729 909 1458 1818 2187 2727 4374 5454 8181 16362 24543 27211 49086 54422 73629 81633 147258 163266 220887 244899 441774 489798 734697 1469394 2204091 2748311 4408182 5496622 6612273 8244933 13224546 16489866 19836819 24734799 39673638 49469598 59510457 74204397 119020914 148408794 222613191 445226382 667839573 1335679146 2003518719 4007037438 6010556157 12021112314