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2012220022000 = 24531663604997
BaseRepresentation
bin11101010010000001101…
…010001101110011110000
321010100220001222021202111
4131102001222031303300
5230432011311201000
64140222350255104
7265243454656246
oct35220152156360
97110801867674
102012220022000
11706417820221
12285b944b7494
131179a0173616
146d56b7c2796
1537520c0ecba
hex1d481a8dcf0

2012220022000 has 80 divisors (see below), whose sum is σ = 4868481825792. Its totient is φ = 804402681600.

The previous prime is 2012220021967. The next prime is 2012220022013. The reversal of 2012220022000 is 2200222102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 3023502 + ... + 3628498.

Almost surely, 22012220022000 is an apocalyptic number.

2012220022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012220022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434240912896).

2012220022000 is an abundant number, since it is smaller than the sum of its proper divisors (2856261803792).

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

2012220022000 is a wasteful number, since it uses less digits than its factorization.

2012220022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606683 (or 606667 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2012220022000 its reverse (2200222102), we get a palindrome (2014420244102).

The spelling of 2012220022000 in words is "two trillion, twelve billion, two hundred twenty million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1663 2000 3326 6652 8315 13304 16630 26608 33260 41575 66520 83150 133040 166300 207875 332600 415750 604997 665200 831500 1209994 1663000 2419988 3024985 3326000 4839976 6049970 9679952 12099940 15124925 24199880 30249850 48399760 60499700 75624625 120999400 151249250 241998800 302498500 604997000 1006110011 1209994000 2012220022 4024440044 5030550055 8048880088 10061100110 16097760176 20122200220 25152750275 40244400440 50305500550 80488800880 100611001100 125763751375 201222002200 251527502750 402444004400 503055005500 1006110011000 2012220022000