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1000201212012 = 22383350101001
BaseRepresentation
bin11101000111000001010…
…00110101000001101100
310112121200202001001110210
432203200220311001230
5112341403002241022
62043252555102420
7132155630011662
oct16434050650154
93477622031423
101000201212012
11356201566512
12141a19441a10
137341ab886c2
14365a5062c32
151b03e25ea0c
hexe8e0a3506c

1000201212012 has 12 divisors (see below), whose sum is σ = 2333802828056. Its totient is φ = 333400404000.

The previous prime is 1000201212001. The next prime is 1000201212013. The reversal of 1000201212012 is 2102121020001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 83350101001 = 1000201212012 / (1 + 0 + 0 + 0 + 2 + 0 + 1 + 2 + 1 + 2 + 0 + 1 + 2).

It is not an unprimeable number, because it can be changed into a prime (1000201212013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41675050489 + ... + 41675050512.

Almost surely, 21000201212012 is an apocalyptic number.

1000201212012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000201212012 is an abundant number, since it is smaller than the sum of its proper divisors (1333601616044).

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

1000201212012 is a wasteful number, since it uses less digits than its factorization.

1000201212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83350101008 (or 83350101006 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1000201212012 its reverse (2102121020001), we get a palindrome (3102322232013).

The spelling of 1000201212012 in words is "one trillion, two hundred one million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 83350101001 166700202002 250050303003 333400404004 500100606006 1000201212012