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122001201210120 = 23351016676676751
BaseRepresentation
bin11011101111010110011110…
…010000101010001100001000
3120222222012102110220200102020
4123233112132100222030020
5111442331430002210440
61111250324512004440
734461203332620441
oct3357263620521410
9528865373820366
10122001201210120
1135967467577a31
1211824797530720
13530c8827ba25b
14221ac652862c8
15e187e7d0c3d0
hex6ef59e42a308

122001201210120 has 32 divisors (see below), whose sum is σ = 366003603630720. Its totient is φ = 32533653656000.

The previous prime is 122001201210107. The next prime is 122001201210167. The reversal of 122001201210120 is 21012102100221.

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 122001201210120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508338338256 + ... + 508338338495.

It is an arithmetic number, because the mean of its divisors is an integer number (11437612613460).

Almost surely, 2122001201210120 is an apocalyptic number.

122001201210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001201210120 is an abundant number, since it is smaller than the sum of its proper divisors (244002402420600).

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

122001201210120 is a wasteful number, since it uses less digits than its factorization.

122001201210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016676676765 (or 1016676676761 counting only the distinct ones).

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

Adding to 122001201210120 its reverse (21012102100221), we get a palindrome (143013303310341).

The spelling of 122001201210120 in words is "one hundred twenty-two trillion, one billion, two hundred one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1016676676751 2033353353502 3050030030253 4066706707004 5083383383755 6100060060506 8133413414008 10166766767510 12200120121012 15250150151265 20333533535020 24400240242024 30500300302530 40667067070040 61000600605060 122001201210120