Search a number
-
+
120000121220 = 225717107471217
BaseRepresentation
bin110111111000010010…
…0001000100110000100
3102110202000101202210002
41233300210020212010
53431230012334340
6131043255020432
711445500125550
oct1576044104604
9373660352702
10120000121220
1146989a38201
121b30b96a718
13b41522a5b5
145b45378860
1531c4ecb715
hex1bf0908984

120000121220 has 96 divisors (see below), whose sum is σ = 307792058112. Its totient is φ = 38360752128.

The previous prime is 120000121211. The next prime is 120000121229. The reversal of 120000121220 is 22121000021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120000121211) and next prime (120000121229).

It is not an unprimeable number, because it can be changed into a prime (120000121229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19052 + ... + 490268.

It is an arithmetic number, because the mean of its divisors is an integer number (3206167272).

Almost surely, 2120000121220 is an apocalyptic number.

120000121220 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 120000121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153896029056).

120000121220 is an abundant number, since it is smaller than the sum of its proper divisors (187791936892).

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

120000121220 is a wasteful number, since it uses less digits than its factorization.

120000121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471357 (or 471355 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120000121220 its reverse (22121000021), we get a palindrome (142121121241).

It can be divided in two parts, 1200001 and 21220, that added together give a palindrome (1221221).

The spelling of 120000121220 in words is "one hundred twenty billion, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 107 119 140 170 214 238 340 428 476 535 595 749 1070 1190 1498 1819 2140 2380 2996 3638 3745 7276 7490 9095 12733 14980 18190 25466 36380 50932 63665 127330 254660 471217 942434 1884868 2356085 3298519 4712170 6597038 8010689 9424340 13194076 16021378 16492595 32042756 32985190 40053445 50420219 56074823 65970380 80106890 100840438 112149646 160213780 201680876 224299292 252101095 280374115 352941533 504202190 560748230 705883066 857143723 1008404380 1121496460 1411766132 1714287446 1764707665 3428574892 3529415330 4285718615 6000006061 7058830660 8571437230 12000012122 17142874460 24000024244 30000030305 60000060610 120000121220