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12002202120012 = 22313262129354137
BaseRepresentation
bin1010111010100111101011…
…1111100110111101001100
31120111101210002202101112220
42232221322333212331030
53033121002220320022
641305422513055340
72346062520511326
oct256517277467514
946441702671486
1012002202120012
1139081182221a5
12141a135257550
13690a589b4190
142d6ca424c616
1515c31140a85c
hexaea7afe6f4c

12002202120012 has 48 divisors (see below), whose sum is σ = 30170887535712. Its totient is φ = 3691576143360.

The previous prime is 12002202120001. The next prime is 12002202120017. The reversal of 12002202120012 is 21002120220021.

Adding to 12002202120012 its reverse (21002120220021), we get a palindrome (33004322340033).

It is a junction number, because it is equal to n+sod(n) for n = 12002202119973 and 12002202120000.

It is not an unprimeable number, because it can be changed into a prime (12002202120017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14268193 + ... + 15085944.

It is an arithmetic number, because the mean of its divisors is an integer number (628560156994).

Almost surely, 212002202120012 is an apocalyptic number.

12002202120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002202120012 is an abundant number, since it is smaller than the sum of its proper divisors (18168685415700).

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

12002202120012 is a wasteful number, since it uses less digits than its factorization.

12002202120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29356778 (or 29356776 counting only the distinct ones).

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

The spelling of 12002202120012 in words is "twelve trillion, two billion, two hundred two million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 2621 5242 7863 10484 15726 31452 34073 68146 102219 136292 204438 408876 29354137 58708274 88062411 117416548 176124822 352249644 381603781 763207562 1144811343 1526415124 2289622686 4579245372 76937193077 153874386154 230811579231 307748772308 461623158462 923246316924 1000183510001 2000367020002 3000550530003 4000734040004 6001101060006 12002202120012