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120022001220200 = 23521517937500723
BaseRepresentation
bin11011010010100011001100…
…101111110111101001101000
3120201221222202121221211012212
4123102203030233313221220
5111212420024303021300
61103133202435224252
734165206035364242
oct3322431457675150
9521858677854185
10120022001220200
11352740547a3622
1211565099448088
1351c80455b8171
14218d14b04b092
15dd20aae25935
hex6d28ccbf7a68

120022001220200 has 96 divisors (see below), whose sum is σ = 280935125876160. Its totient is φ = 47684757504000.

The previous prime is 120022001220133. The next prime is 120022001220203. The reversal of 120022001220200 is 2022100220021.

It is not an unprimeable number, because it can be changed into a prime (120022001220203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239447039 + ... + 239947761.

It is an arithmetic number, because the mean of its divisors is an integer number (2926407561210).

Almost surely, 2120022001220200 is an apocalyptic number.

120022001220200 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 120022001220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140467562938080).

120022001220200 is an abundant number, since it is smaller than the sum of its proper divisors (160913124655960).

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

120022001220200 is a wasteful number, since it uses less digits than its factorization.

120022001220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508827 (or 508818 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120022001220200 its reverse (2022100220021), we get a palindrome (122044101440221).

The spelling of 120022001220200 in words is "one hundred twenty trillion, twenty-two billion, one million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 200 302 604 755 1208 1510 3020 3775 6040 7550 7937 15100 15874 30200 31748 39685 63496 79370 158740 198425 317480 396850 500723 793700 1001446 1198487 1587400 2002892 2396974 2503615 4005784 4793948 5007230 5992435 9587896 10014460 11984870 12518075 20028920 23969740 25036150 29962175 47939480 50072300 59924350 75609173 100144600 119848700 151218346 239697400 302436692 378045865 604873384 756091730 1512183460 1890229325 3024366920 3780458650 3974238451 7560917300 7948476902 15121834600 15896953804 19871192255 31793907608 39742384510 79484769020 99355961275 158969538040 198711922550 397423845100 600110006101 794847690200 1200220012202 2400440024404 3000550030505 4800880048808 6001100061010 12002200122020 15002750152525 24004400244040 30005500305050 60011000610100 120022001220200