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120011122120200 = 23352313639036859
BaseRepresentation
bin11011010010011001000100…
…010011011001011000001000
3120201220221200110000021121020
4123102121010103121120020
5111212230234230321300
61103124203130312440
734164342324511443
oct3322310423313010
9521827613007536
10120011122120200
113526a481831793
1211562b61b88720
1351c700074129c
14218c7d824c65a
15dd1b70cb88a0
hex6d26444d9608

120011122120200 has 96 divisors (see below), whose sum is σ = 373223087714400. Its totient is φ = 31900719951360.

The previous prime is 120011122120163. The next prime is 120011122120291. The reversal of 120011122120200 is 2021221110021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120011122120200.

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, 319330630 + ... + 319706229.

It is an arithmetic number, because the mean of its divisors is an integer number (3887740497025).

Almost surely, 2120011122120200 is an apocalyptic number.

120011122120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120011122120200 is an abundant number, since it is smaller than the sum of its proper divisors (253211965594200).

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

120011122120200 is a wasteful number, since it uses less digits than its factorization.

120011122120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639037191 (or 639037182 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120011122120200 its reverse (2021221110021), we get a palindrome (122032343230221).

The spelling of 120011122120200 in words is "one hundred twenty trillion, eleven billion, one hundred twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 313 600 626 939 1252 1565 1878 2504 3130 3756 4695 6260 7512 7825 9390 12520 15650 18780 23475 31300 37560 46950 62600 93900 187800 639036859 1278073718 1917110577 2556147436 3195184295 3834221154 5112294872 6390368590 7668442308 9585552885 12780737180 15336884616 15975921475 19171105770 25561474360 31951842950 38342211540 47927764425 63903685900 76684423080 95855528850 127807371800 191711057700 200018536867 383422115400 400037073734 600055610601 800074147468 1000092684335 1200111221202 1600148294936 2000185368670 2400222442404 3000278053005 4000370737340 4800444884808 5000463421675 6000556106010 8000741474680 10000926843350 12001112212020 15001390265025 20001853686700 24002224424040 30002780530050 40003707373400 60005561060100 120011122120200