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12212010001000 = 2353109112036789
BaseRepresentation
bin1011000110110101010010…
…0001001010001001101000
31121020110022222022001102201
42301231110201022021220
53100040144030013000
641550041524105544
72400200664205465
oct261552441121150
947213288261381
1012212010001000
1139890a2308567
1214529295352b4
136a7783c65714
143030c8b6266c
151629e093d96a
hexb1b5484a268

12212010001000 has 64 divisors (see below), whose sum is σ = 28838269746000. Its totient is φ = 4839989241600.

The previous prime is 12212010000991. The next prime is 12212010001003. The reversal of 12212010001000 is 10001021221.

It can be written as a sum of positive squares in 8 ways, for example, as 863587338436 + 11348422662564 = 929294^2 + 3368742^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12212010001003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55909395 + ... + 56127394.

Almost surely, 212212010001000 is an apocalyptic number.

12212010001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12212010001000 is an abundant number, since it is smaller than the sum of its proper divisors (16626259745000).

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

12212010001000 is a wasteful number, since it uses less digits than its factorization.

12212010001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112036919 (or 112036905 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12212010001000 its reverse (10001021221), we get a palindrome (12222011022221).

The spelling of 12212010001000 in words is "twelve trillion, two hundred twelve billion, ten million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 872 1000 1090 2180 2725 4360 5450 10900 13625 21800 27250 54500 109000 112036789 224073578 448147156 560183945 896294312 1120367890 2240735780 2800919725 4481471560 5601839450 11203678900 12212010001 14004598625 22407357800 24424020002 28009197250 48848040004 56018394500 61060050005 97696080008 112036789000 122120100010 244240200020 305300250025 488480400040 610600500050 1221201000100 1526501250125 2442402000200 3053002500250 6106005000500 12212010001000