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12000031320012 = 2234174173288433
BaseRepresentation
bin1010111010011111100110…
…0110101010011111001100
31120111012011211000022202220
42232213321212222133030
53033102031004220022
641304423245215340
72345654651146341
oct256477146523714
946435154008686
1012000031320012
11390720392700a
12141982a261550
136907a1037638
142d6b39c127c8
1515c235a5a85c
hexae9f99aa7cc

12000031320012 has 48 divisors (see below), whose sum is σ = 28686877612512. Its totient is φ = 3901921873920.

The previous prime is 12000031319977. The next prime is 12000031320023. The reversal of 12000031320012 is 21002313000021.

It is a junction number, because it is equal to n+sod(n) for n = 12000031319973 and 12000031320000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2004948 + ... + 5293380.

It is an arithmetic number, because the mean of its divisors is an integer number (597643283594).

Almost surely, 212000031320012 is an apocalyptic number.

12000031320012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000031320012 is an abundant number, since it is smaller than the sum of its proper divisors (16686846292500).

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

12000031320012 is a wasteful number, since it uses less digits than its factorization.

12000031320012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295898 (or 3295896 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12000031320012 its reverse (21002313000021), we get a palindrome (33002344320033).

The spelling of 12000031320012 in words is "twelve trillion, thirty-one million, three hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 7417 14834 22251 29668 44502 89004 304097 608194 912291 1216388 1824582 3288433 3649164 6576866 9865299 13153732 19730598 39461196 134825753 269651506 404477259 539303012 808954518 1617909036 24390307561 48780615122 73170922683 97561230244 146341845366 292683690732 1000002610001 2000005220002 3000007830003 4000010440004 6000015660006 12000031320012