Search a number
-
+
12221012012000 = 255311277750273
BaseRepresentation
bin1011000111010110110100…
…0101000110101111100000
31121021022120100011121000112
42301311231011012233200
53100212113033341000
641554131100310452
72400640033063511
oct261655505065740
947238510147015
1012221012012000
1139919a1752680
121454620242428
136a8589c6b14c
1430370053ca08
15162d6adb6235
hexb1d6d146be0

12221012012000 has 96 divisors (see below), whose sum is σ = 32756756314464. Its totient is φ = 4444004352000.

The previous prime is 12221012011951. The next prime is 12221012012081. The reversal of 12221012012000 is 21021012221.

12221012012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138831137 + ... + 138919136.

It is an arithmetic number, because the mean of its divisors is an integer number (341216211609).

Almost surely, 212221012012000 is an apocalyptic number.

12221012012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221012012000 is an abundant number, since it is smaller than the sum of its proper divisors (20535744302464).

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

12221012012000 is a wasteful number, since it uses less digits than its factorization.

12221012012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277750309 (or 277750291 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12221012012000 its reverse (21021012221), we get a palindrome (12242033024221).

The spelling of 12221012012000 in words is "twelve trillion, two hundred twenty-one billion, twelve million, twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 277750273 555500546 1111001092 1388751365 2222002184 2777502730 3055253003 4444004368 5555005460 6110506006 6943756825 8888008736 11110010920 12221012012 13887513650 15276265015 22220021840 24442024024 27775027300 30552530030 34718784125 44440043680 48884048048 55550054600 61105060060 69437568250 76381325075 97768096096 111100109200 122210120120 138875136500 152762650150 222200218400 244420240240 277750273000 305525300300 381906625375 488840480480 555500546000 611050600600 763813250750 1111001092000 1222101201200 1527626501500 2444202402400 3055253003000 6110506006000 12221012012000