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12002022120012 = 22313715271478063
BaseRepresentation
bin1010111010100111000001…
…0000111101101001001100
31120111101022120001102222020
42232221300100331221030
53033120120130320022
641305353003050140
72346055203523101
oct256516020755114
946441276042866
1012002022120012
11390803565a571
12141a0a4b10950
13690a2a6102c2
142d6c88394aa8
1515c30070235c
hexaea7043da4c

12002022120012 has 48 divisors (see below), whose sum is σ = 28211038528512. Its totient is φ = 3971203666560.

The previous prime is 12002022119993. The next prime is 12002022120013. The reversal of 12002022120012 is 21002122020021.

It is a junction number, because it is equal to n+sod(n) for n = 12002022119973 and 12002022120000.

It is not an unprimeable number, because it can be changed into a prime (12002022120013) 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, 24866493 + ... + 25344555.

It is an arithmetic number, because the mean of its divisors is an integer number (587729969344).

Almost surely, 212002022120012 is an apocalyptic number.

12002022120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12002022120012 is an abundant number, since it is smaller than the sum of its proper divisors (16209016408500).

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

12002022120012 is a wasteful number, since it uses less digits than its factorization.

12002022120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493478 (or 493476 counting only the distinct ones).

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

Adding to 12002022120012 its reverse (21002122020021), we get a palindrome (33004144140033).

Subtracting 12002022120012 from its reverse (21002122020021), we obtain a palindrome (9000099900009).

The spelling of 12002022120012 in words is "twelve trillion, two billion, twenty-two million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 137 274 411 548 822 1644 15271 30542 45813 61084 91626 183252 478063 956126 1434189 1912252 2092127 2868378 4184254 5736756 6276381 8368508 12552762 25105524 65494631 130989262 196483893 261978524 392967786 785935572 7300500073 14601000146 21901500219 29202000292 43803000438 87606000876 1000168510001 2000337020002 3000505530003 4000674040004 6001011060006 12002022120012