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1200212120 = 23531231223
BaseRepresentation
bin100011110001001…
…1100100010011000
310002122102002111202
41013202130202120
54424223241440
6315032413332
741512430462
oct10742344230
93078362452
101200212120
11566541148
12295b47248
13161869bb3
14b5587132
157057d615
hex4789c898

1200212120 has 48 divisors (see below), whose sum is σ = 2790488880. Its totient is φ = 464583360.

The previous prime is 1200212119. The next prime is 1200212141. The reversal of 1200212120 is 212120021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22829 + ... + 54051.

It is an arithmetic number, because the mean of its divisors is an integer number (58135185).

Almost surely, 21200212120 is an apocalyptic number.

1200212120 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 1200212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395244440).

1200212120 is an abundant number, since it is smaller than the sum of its proper divisors (1590276760).

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

1200212120 is a wasteful number, since it uses less digits than its factorization.

1200212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31296 (or 31261 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1200212120 is about 34644.0777045659. The cubic root of 1200212120 is about 1062.7211796980.

Adding to 1200212120 its reverse (212120021), we get a palindrome (1412332141).

The spelling of 1200212120 in words is "one billion, two hundred million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 961 1240 1922 3844 4805 7688 9610 19220 31223 38440 62446 124892 156115 249784 312230 624460 967913 1248920 1935826 3871652 4839565 7743304 9679130 19358260 30005303 38716520 60010606 120021212 150026515 240042424 300053030 600106060 1200212120