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120210012000001 = 71179109505935837
BaseRepresentation
bin11011010101010010010011…
…000100000100111100000001
3120202121222001102102000110201
4123111102103010010330001
5111224010101033000001
61103355414522525201
734214613105552430
oct3325222304047401
9522558042360421
10120210012000001
11353368639a6180
1211595609966801
13520c9a8a782b1
1421982a4b19117
15dd6e11a58501
hex6d5493104f01

120210012000001 has 64 divisors (see below), whose sum is σ = 153196268544000. Its totient is φ = 91615290174720.

The previous prime is 120210011999969. The next prime is 120210012000059. The reversal of 120210012000001 is 100000210012021.

It is a cyclic number.

It is not a de Polignac number, because 120210012000001 - 25 = 120210011999969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120210012004001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3354336855 + ... + 3354372691.

It is an arithmetic number, because the mean of its divisors is an integer number (2393691696000).

Almost surely, 2120210012000001 is an apocalyptic number.

120210012000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120210012000001 is a deficient number, since it is larger than the sum of its proper divisors (32986256543999).

120210012000001 is a wasteful number, since it uses less digits than its factorization.

120210012000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41102.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120210012000001 its reverse (100000210012021), we get a palindrome (220210222012022).

The spelling of 120210012000001 in words is "one hundred twenty trillion, two hundred ten billion, twelve million, one", and thus it is an aban number.

Divisors: 1 7 11 77 79 109 553 763 869 1199 5059 6083 8393 8611 35413 35837 55649 60277 94721 250859 389543 394207 399661 551431 663047 2759449 2797627 2831123 3860017 3906233 4396271 6065741 19817861 27343631 30773897 31142353 42460187 42968563 43563049 181299383 217996471 300779941 304941343 308592407 479193539 1269095681 1994293213 2160146849 3354354773 3394516477 13960052491 14322651257 19761632747 23761615339 100258558799 138331429229 157549163827 217377960217 1102844146789 1521645721519 1561168987013 10928182909091 17172858857143 120210012000001