Search a number
-
+
22120120000 = 26541150273
BaseRepresentation
bin10100100110011101…
…100011111011000000
32010002120220112010201
4110212131203323000
5330300222320000
614054542534544
71412104626526
oct244635437300
963076815121
1022120120000
11942125a610
124353b97454
1321169bb704
1410dbacc316
15896e5996a
hex526763ec0

22120120000 has 140 divisors (see below), whose sum is σ = 59838326856. Its totient is φ = 8043520000.

The previous prime is 22120119977. The next prime is 22120120003. The reversal of 22120120000 is 2102122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22120120003) 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 19 ways as a sum of consecutive naturals, for example, 414864 + ... + 465136.

Almost surely, 222120120000 is an apocalyptic number.

22120120000 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 22120120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29919163428).

22120120000 is an abundant number, since it is smaller than the sum of its proper divisors (37718206856).

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

22120120000 is an equidigital number, since it uses as much as digits as its factorization.

22120120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50316 (or 50291 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22120120000 its reverse (2102122), we get a palindrome (22122222122).

The spelling of 22120120000 in words is "twenty-two billion, one hundred twenty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2500 2750 3520 4000 4400 5000 5500 6875 8000 8800 10000 11000 13750 17600 20000 22000 27500 40000 44000 50273 55000 88000 100546 110000 201092 220000 251365 402184 440000 502730 553003 804368 1005460 1106006 1256825 1608736 2010920 2212012 2513650 2765015 3217472 4021840 4424024 5027300 5530030 6284125 8043680 8848048 10054600 11060060 12568250 13825075 16087360 17696096 20109200 22120120 25136500 27650150 31420625 35392192 40218400 44240240 50273000 55300300 62841250 69125375 80436800 88480480 100546000 110600600 125682500 138250750 176960960 201092000 221201200 251365000 276501500 345626875 402184000 442402400 502730000 553003000 691253750 884804800 1005460000 1106006000 1382507500 2010920000 2212012000 2765015000 4424024000 5530030000 11060060000 22120120000