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122224130000 = 245472249437
BaseRepresentation
bin111000111010100100…
…0000011011111010000
3102200111000021010021122
41301311020003133100
54000303334130000
6132052103141412
711554553651300
oct1616510033720
9380430233248
10122224130000
1147920375995
121b830744868
13b6aac16c1b
145cb68a5600
1532a538c085
hex1c752037d0

122224130000 has 150 divisors (see below), whose sum is σ = 344231174826. Its totient is φ = 41905248000.

The previous prime is 122224129999. The next prime is 122224130029. The reversal of 122224130000 is 31422221.

It can be written as a sum of positive squares in 5 ways, for example, as 87459781696 + 34764348304 = 295736^2 + 186452^2 .

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 365282 + ... + 614718.

Almost surely, 2122224130000 is an apocalyptic number.

122224130000 is a gapful number since it is divisible by the number (10) 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 122224130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172115587413).

122224130000 is an abundant number, since it is smaller than the sum of its proper divisors (222007044826).

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

122224130000 is an equidigital number, since it uses as much as digits as its factorization.

122224130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249479 (or 249451 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 122224130000 its reverse (31422221), we get a palindrome (122255552221).

The spelling of 122224130000 in words is "one hundred twenty-two billion, two hundred twenty-four million, one hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 245 250 280 350 392 400 490 500 560 625 700 784 875 980 1000 1225 1250 1400 1750 1960 2000 2450 2500 2800 3500 3920 4375 4900 5000 6125 7000 8750 9800 10000 12250 14000 17500 19600 24500 30625 35000 49000 61250 70000 98000 122500 245000 249437 490000 498874 997748 1247185 1746059 1995496 2494370 3492118 3990992 4988740 6235925 6984236 8730295 9977480 12222413 12471850 13968472 17460590 19954960 24444826 24943700 27936944 31179625 34921180 43651475 48889652 49887400 61112065 62359250 69842360 87302950 97779304 99774800 122224130 124718500 139684720 155898125 174605900 195558608 218257375 244448260 249437000 305560325 311796250 349211800 436514750 488896520 498874000 611120650 623592500 698423600 873029500 977793040 1091286875 1222241300 1247185000 1527801625 1746059000 2182573750 2444482600 2494370000 3055603250 3492118000 4365147500 4888965200 6111206500 7639008125 8730295000 12222413000 15278016250 17460590000 24444826000 30556032500 61112065000 122224130000