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1200212000 = 25531323081
BaseRepresentation
bin100011110001001…
…1100100000100000
310002122102002100022
41013202130200200
54424223241000
6315032413012
741512430231
oct10742344040
93078362308
101200212000
11566541049
12295b47168
13161869b20
14b5587088
157057d585
hex4789c820

1200212000 has 96 divisors (see below), whose sum is σ = 3175898544. Its totient is φ = 443136000.

The previous prime is 1200211997. The next prime is 1200212017. The reversal of 1200212000 is 2120021.

It can be written as a sum of positive squares in 8 ways, for example, as 559504 + 1199652496 = 748^2 + 34636^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40460 + ... + 63540.

Almost surely, 21200212000 is an apocalyptic number.

1200212000 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 1200212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587949272).

1200212000 is an abundant number, since it is smaller than the sum of its proper divisors (1975686544).

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

1200212000 is a wasteful number, since it uses less digits than its factorization.

1200212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23119 (or 23101 counting only the distinct ones).

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

The square root of 1200212000 is about 34644.0759726681. The cubic root of 1200212000 is about 1062.7211442802.

Adding to 1200212000 its reverse (2120021), we get a palindrome (1202332021).

The spelling of 1200212000 in words is "one billion, two hundred million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6500 10400 13000 23081 26000 46162 52000 92324 115405 184648 230810 300053 369296 461620 577025 600106 738592 923240 1154050 1200212 1500265 1846480 2308100 2400424 2885125 3000530 3692960 4616200 4800848 5770250 6001060 7501325 9232400 9601696 11540500 12002120 15002650 18464800 23081000 24004240 30005300 37506625 46162000 48008480 60010600 75013250 92324000 120021200 150026500 240042400 300053000 600106000 1200212000