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12014022012 = 2231973799137
BaseRepresentation
bin10110011000001011…
…10110110101111100
31011000021111112221020
423030011312311330
5144101042201022
65304050104140
7603501334146
oct131405666574
934007445836
1012014022012
115105669613
1223b357b050
131196033c85
1481d82bc96
154a4ae035c
hex2cc176d7c

12014022012 has 96 divisors (see below), whose sum is σ = 30294297600. Its totient is φ = 3694159872.

The previous prime is 12014022001. The next prime is 12014022017. The reversal of 12014022012 is 21022041021.

It is a junction number, because it is equal to n+sod(n) for n = 12014021982 and 12014022000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12014022017) 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, 1310308 + ... + 1319444.

It is an arithmetic number, because the mean of its divisors is an integer number (315565600).

Almost surely, 212014022012 is an apocalyptic number.

12014022012 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 12014022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15147148800).

12014022012 is an abundant number, since it is smaller than the sum of its proper divisors (18280275588).

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

12014022012 is a wasteful number, since it uses less digits than its factorization.

12014022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9315 (or 9313 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12014022012 its reverse (21022041021), we get a palindrome (33036063033).

The spelling of 12014022012 in words is "twelve billion, fourteen million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 73 76 79 114 146 158 219 228 237 292 316 438 474 876 948 1387 1501 2774 3002 4161 4503 5548 5767 6004 8322 9006 9137 11534 16644 17301 18012 18274 23068 27411 34602 36548 54822 69204 109573 109644 173603 219146 328719 347206 438292 520809 657438 667001 694412 721823 1041618 1314876 1334002 1443646 2001003 2083236 2165469 2668004 2887292 4002006 4330938 8004012 8661876 12673019 13714637 25346038 27429274 38019057 41143911 50692076 52693079 54858548 76038114 82287822 105386158 152076228 158079237 164575644 210772316 316158474 632316948 1001168501 2002337002 3003505503 4004674004 6007011006 12014022012