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12012111101000 = 235312012111101
BaseRepresentation
bin1010111011001100100110…
…0111010111110001001000
31120112100100200020210001202
42232303021213113301020
53033301300420213000
641314142045003332
72346563211454613
oct256631147276110
946470320223052
1012012111101000
11391134261a28a
12142003b853548
1369197788393a
142d756427b17a
1515c6e12d9dd5
hexaecc99d7c48

12012111101000 has 32 divisors (see below), whose sum is σ = 28108339978680. Its totient is φ = 4804844440000.

The previous prime is 12012111100993. The next prime is 12012111101021. The reversal of 12012111101000 is 10111121021.

It can be written as a sum of positive squares in 4 ways, for example, as 1306087836964 + 10706023264036 = 1142842^2 + 3272006^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6006054551 + ... + 6006056550.

Almost surely, 212012111101000 is an apocalyptic number.

12012111101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012111101000 is an abundant number, since it is smaller than the sum of its proper divisors (16096228877680).

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

12012111101000 is a wasteful number, since it uses less digits than its factorization.

12012111101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12012111122 (or 12012111108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 12012111101000 its reverse (10111121021), we get a palindrome (12022222222021).

The spelling of 12012111101000 in words is "twelve trillion, twelve billion, one hundred eleven million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 12012111101 24024222202 48048444404 60060555505 96096888808 120121111010 240242222020 300302777525 480484444040 600605555050 1201211110100 1501513887625 2402422220200 3003027775250 6006055550500 12012111101000