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12201002112012 = 2237166871870433
BaseRepresentation
bin1011000110001100010001…
…1001011001010000001100
31121012101220211000100112120
42301203010121121100030
53044400123020041022
641541021334532540
72366331130534620
oct261430431312014
947171824010476
1012201002112012
11398446368164a
121450776b07150
136a671b50833c
14302762bdb180
15162599341d5c
hexb18c465940c

12201002112012 has 48 divisors (see below), whose sum is σ = 32536237988352. Its totient is φ = 3485975708160.

The previous prime is 12201002111951. The next prime is 12201002112017. The reversal of 12201002112012 is 21021120010221.

It is a junction number, because it is equal to n+sod(n) for n = 12201002111982 and 12201002112000.

It is not an unprimeable number, because it can be changed into a prime (12201002112017) 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 15 ways as a sum of consecutive naturals, for example, 13581948 + ... + 14452380.

It is an arithmetic number, because the mean of its divisors is an integer number (677838291424).

Almost surely, 212201002112012 is an apocalyptic number.

12201002112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12201002112012 is an abundant number, since it is smaller than the sum of its proper divisors (20335235876340).

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

12201002112012 is a wasteful number, since it uses less digits than its factorization.

12201002112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037318 (or 1037316 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12201002112012 its reverse (21021120010221), we get a palindrome (33222122122233).

The spelling of 12201002112012 in words is "twelve trillion, two hundred one billion, two million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 166871 333742 500613 667484 870433 1001226 1168097 1740866 2002452 2336194 2611299 3481732 3504291 4672388 5222598 6093031 7008582 10445196 12186062 14017164 18279093 24372124 36558186 73116372 145250025143 290500050286 435750075429 581000100572 871500150858 1016750176001 1743000301716 2033500352002 3050250528003 4067000704004 6100501056006 12201002112012