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20122210012000 = 255314177354839
BaseRepresentation
bin1001001001101000100010…
…01011100000101101100000
32122020122221102011100200111
410210310101023200231200
510114140241230341000
6110444003214501104
74144532060002645
oct444642113405540
978218842140614
1020122210012000
116458865a6a958
12230b99b504794
13b2c6932c68c5
144d7cc4cc9dcc
1524d658d84cba
hex124d112e0b60

20122210012000 has 96 divisors (see below), whose sum is σ = 49443896698560. Its totient is φ = 8048293580800.

The previous prime is 20122210011983. The next prime is 20122210012031. The reversal of 20122210012000 is 21001222102.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56530581 + ... + 56885419.

It is an arithmetic number, because the mean of its divisors is an integer number (515040590610).

Almost surely, 220122210012000 is an apocalyptic number.

20122210012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122210012000 is an abundant number, since it is smaller than the sum of its proper divisors (29321686686560).

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

20122210012000 is a wasteful number, since it uses less digits than its factorization.

20122210012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369041 (or 369023 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20122210012000 its reverse (21001222102), we get a palindrome (20143211234102).

The spelling of 20122210012000 in words is "twenty trillion, one hundred twenty-two billion, two hundred ten million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 14177 28354 56708 70885 113416 141770 226832 283540 354425 354839 453664 567080 708850 709678 1134160 1417700 1419356 1772125 1774195 2268320 2835400 2838712 3544250 3548390 5670800 5677424 7088500 7096780 8870975 11341600 11354848 14177000 14193560 17741950 28354000 28387120 35483900 44354875 56708000 56774240 70967800 88709750 141935600 177419500 283871200 354839000 709678000 1419356000 5030552503 10061105006 20122210012 25152762515 40244420024 50305525030 80488840048 100611050060 125763812575 160977680096 201222100120 251527625150 402444200240 503055250300 628819062875 804888400480 1006110500600 1257638125750 2012221001200 2515276251500 4024442002400 5030552503000 10061105006000 20122210012000