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12002003212212 = 22321325645306009
BaseRepresentation
bin1010111010100110111100…
…1000110101011110110100
31120111101021020110211100100
42232221233020311132310
53033120100310242322
641305351045514100
72346054554023236
oct256515710653664
946441236424310
1012002003212212
113908025a15892
12141a09a712930
13690a26720060
142d6c85a72256
1515c2edc19dac
hexaea6f2357b4

12002003212212 has 36 divisors (see below), whose sum is σ = 32672119856740. Its totient is φ = 3692924065152.

The previous prime is 12002003212189. The next prime is 12002003212219. The reversal of 12002003212212 is 21221230020021.

12002003212212 is a `hidden beast` number, since 120 + 0 + 2 + 0 + 0 + 321 + 221 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 964551837456 + 11037451374756 = 982116^2 + 3322266^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×120020032122122 (a number of 27 digits) contains 22 as substring.

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 (12002003212219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12822652537 + ... + 12822653472.

Almost surely, 212002003212212 is an apocalyptic number.

12002003212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002003212212 is an abundant number, since it is smaller than the sum of its proper divisors (20670116644528).

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

12002003212212 is a wasteful number, since it uses less digits than its factorization.

12002003212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25645306032 (or 25645306027 counting only the distinct ones).

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

Adding to 12002003212212 its reverse (21221230020021), we get a palindrome (33223233232233).

The spelling of 12002003212212 in words is "twelve trillion, two billion, three million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 25645306009 51290612018 76935918027 102581224036 153871836054 230807754081 307743672108 333388978117 461615508162 666777956234 923231016324 1000166934351 1333555912468 2000333868702 3000500803053 4000667737404 6001001606106 12002003212212