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1200212000000 = 28561323081
BaseRepresentation
bin10001011101110010001…
…101011011110100000000
311020201221211121211022022
4101131302031123310000
5124131013233000000
62315211512301012
7152466241446566
oct21356215336400
94221854554268
101200212000000
11423009425902
121747386a1768
13892444b3cb0
144213a751a36
1521348615585
hex1177235bd00

1200212000000 has 252 divisors, whose sum is σ = 3225127233468. Its totient is φ = 443136000000.

The previous prime is 1200211999997. The next prime is 1200212000017. The reversal of 1200212000000 is 2120021.

It can be written as a sum of positive squares in 14 ways, for example, as 786896733184 + 413315266816 = 887072^2 + 642896^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 51988460 + ... + 52011540.

Almost surely, 21200212000000 is an apocalyptic number.

1200212000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612563616734).

1200212000000 is an abundant number, since it is smaller than the sum of its proper divisors (2024915233468).

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

1200212000000 is an frugal number, since it uses more digits than its factorization.

1200212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23140 (or 23101 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1200212000000 its reverse (2120021), we get a palindrome (1200214120021).

The spelling of 1200212000000 in words is "one trillion, two hundred billion, two hundred twelve million", and thus it is an aban number.