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2012330001222 = 234411492033359
BaseRepresentation
bin11101010010001000001…
…101110000001101000110
321010101011201220210220000
4131102020031300031012
5230432222440014342
64140241315422130
7265246261533342
oct35221015601506
97111151823800
102012330001222
11706473908242
122860052b4946
131179b9b9c398
146d57c250622
153752a6d644c
hex1d488370346

2012330001222 has 80 divisors (see below), whose sum is σ = 4650090984000. Its totient is φ = 650023885440.

The previous prime is 2012330001211. The next prime is 2012330001223. The reversal of 2012330001222 is 2221000332102.

2012330001222 is a `hidden beast` number, since 20 + 123 + 300 + 0 + 1 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2012330001195 and 2012330001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012330001223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27022 + ... + 2006337.

It is an arithmetic number, because the mean of its divisors is an integer number (58126137300).

Almost surely, 22012330001222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012330001222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325045492000).

2012330001222 is an abundant number, since it is smaller than the sum of its proper divisors (2637760982778).

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

2012330001222 is a wasteful number, since it uses less digits than its factorization.

2012330001222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033563 (or 2033554 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2012330001222 its reverse (2221000332102), we get a palindrome (4233330333324).

The spelling of 2012330001222 in words is "two trillion, twelve billion, three hundred thirty million, one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 149 162 246 298 369 447 738 894 1107 1341 2214 2682 3321 4023 6109 6642 8046 12069 12218 18327 24138 36654 54981 109962 164943 329886 494829 989658 2033359 4066718 6100077 12200154 18300231 36600462 54900693 83367719 109801386 164702079 166735438 250103157 302970491 329404158 500206314 605940982 750309471 908911473 1500618942 1817822946 2250928413 2726734419 4501856826 5453468838 6752785239 8180203257 12421790131 13505570478 16360406514 24540609771 24843580262 37265370393 49081219542 74530740786 111796111179 223592222358 335388333537 670776667074 1006165000611 2012330001222