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122001000012 = 22335572028077
BaseRepresentation
bin111000110011111010…
…0111000011001001100
3102122220110101221111000
41301213310320121030
53444324224000022
6132014012500300
711546204250453
oct1614764703114
9378813357430
10122001000012
1147816425041
121b789a7a690
13b673921948
145c94dc1b9a
1532909b46ac
hex1c67d3864c

122001000012 has 48 divisors (see below), whose sum is σ = 316866906720. Its totient is φ = 40593969216.

The previous prime is 122001000001. The next prime is 122001000029. The reversal of 122001000012 is 210000100221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 122000999958 and 122001000003.

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 15 ways as a sum of consecutive naturals, for example, 953883 + ... + 1074194.

It is an arithmetic number, because the mean of its divisors is an integer number (6601393890).

Almost surely, 2122001000012 is an apocalyptic number.

122001000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122001000012 is an abundant number, since it is smaller than the sum of its proper divisors (194865906708).

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

122001000012 is a wasteful number, since it uses less digits than its factorization.

122001000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028647 (or 2028639 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122001000012 its reverse (210000100221), we get a palindrome (332001100233).

The spelling of 122001000012 in words is "one hundred twenty-two billion, one million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 557 1114 1671 2228 3342 5013 6684 10026 15039 20052 30078 60156 2028077 4056154 6084231 8112308 12168462 18252693 24336924 36505386 54758079 73010772 109516158 219032316 1129638889 2259277778 3388916667 4518555556 6777833334 10166750001 13555666668 20333500002 30500250003 40667000004 61000500006 122001000012