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20121022320200 = 23522317325284019
BaseRepresentation
bin1001001001100110010100…
…11000110100111001001000
32122020112212122022100211022
410210303022120310321020
510114130323203221300
6110443245310252012
74144460455536434
oct444631230647110
978215778270738
1020121022320200
11645830660048a
12230b7097b7008
13b2c5342217a9
144d7c112819c4
1524d5d997b285
hex124cca634e48

20121022320200 has 96 divisors (see below), whose sum is σ = 49097521396800. Its totient is φ = 7653977928960.

The previous prime is 20121022320149. The next prime is 20121022320229. The reversal of 20121022320200 is 202322012102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11846210 + ... + 13437809.

It is an arithmetic number, because the mean of its divisors is an integer number (511432514550).

Almost surely, 220121022320200 is an apocalyptic number.

20121022320200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20121022320200 is an abundant number, since it is smaller than the sum of its proper divisors (28976499076600).

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

20121022320200 is a wasteful number, since it uses less digits than its factorization.

20121022320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25284231 (or 25284222 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20121022320200 its reverse (202322012102), we get a palindrome (20323344332302).

The spelling of 20121022320200 in words is "twenty trillion, one hundred twenty-one billion, twenty-two million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 173 184 200 230 346 460 575 692 865 920 1150 1384 1730 2300 3460 3979 4325 4600 6920 7958 8650 15916 17300 19895 31832 34600 39790 79580 99475 159160 198950 397900 795800 25284019 50568038 101136076 126420095 202272152 252840190 505680380 581532437 632100475 1011360760 1163064874 1264200950 2326129748 2528401900 2907662185 4374135287 4652259496 5056803800 5815324370 8748270574 11630648740 14538310925 17496541148 21870676435 23261297480 29076621850 34993082296 43741352870 58153243700 87482705740 100605111601 109353382175 116306487400 174965411480 201210223202 218706764350 402420446404 437413528700 503025558005 804840892808 874827057400 1006051116010 2012102232020 2515127790025 4024204464040 5030255580050 10060511160100 20121022320200