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201212202000 = 24353156721401
BaseRepresentation
bin1011101101100100101…
…1101000110000010000
3201020100211020221000210
42323121023220300100
511244040310431000
6232234031444120
720352140332425
oct2733113506020
9636324227023
10201212202000
1178374051537
1232bb5686640
1315c884c6574
149a4b0a9d4c
155379ac0350
hex2ed92e8c10

201212202000 has 160 divisors (see below), whose sum is σ = 649152451584. Its totient is φ = 53619840000.

The previous prime is 201212201941. The next prime is 201212202001. The reversal of 201212202000 is 202212102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201212202001) 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 31 ways as a sum of consecutive naturals, for example, 9391300 + ... + 9412700.

Almost surely, 2201212202000 is an apocalyptic number.

201212202000 is a gapful number since it is divisible by the number (20) 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 201212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324576225792).

201212202000 is an abundant number, since it is smaller than the sum of its proper divisors (447940249584).

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

201212202000 is a wasteful number, since it uses less digits than its factorization.

201212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22994 (or 22978 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201212202000 its reverse (202212102), we get a palindrome (201414414102).

The spelling of 201212202000 in words is "two hundred one billion, two hundred twelve million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 1567 2000 3000 3134 4701 6000 6268 7835 9402 12536 15670 18804 21401 23505 25072 31340 37608 39175 42802 47010 62680 64203 75216 78350 85604 94020 107005 117525 125360 128406 156700 171208 188040 195875 214010 235050 256812 313400 321015 342416 376080 391750 428020 470100 513624 535025 587625 626800 642030 783500 856040 940200 1027248 1070050 1175250 1284060 1567000 1605075 1712080 1880400 2140100 2350500 2568120 2675125 3134000 3210150 4280200 4701000 5136240 5350250 6420300 8025375 8560400 9402000 10700500 12840600 16050750 21401000 25681200 32101500 33535367 42802000 64203000 67070734 100606101 128406000 134141468 167676835 201212202 268282936 335353670 402424404 503030505 536565872 670707340 804848808 838384175 1006061010 1341414680 1609697616 1676768350 2012122020 2515152525 2682829360 3353536700 4024244040 4191920875 5030305050 6707073400 8048488080 8383841750 10060610100 12575762625 13414146800 16767683500 20121220200 25151525250 33535367000 40242440400 50303050500 67070734000 100606101000 201212202000