Search a number
-
+
122220425000 = 235546310559
BaseRepresentation
bin111000111010011100…
…1111010111100101000
3102200110202021212222102
41301310321322330220
54000301412100000
6132051451512532
711554510320452
oct1616471727450
9380422255872
10122220425000
1147919275303
121b82b458748
13b6aa21a70b
145cb61bd2d2
1532a4da93d5
hex1c74e7af28

122220425000 has 96 divisors (see below), whose sum is σ = 287081625600. Its totient is φ = 48777960000.

The previous prime is 122220424979. The next prime is 122220425009. The reversal of 122220425000 is 524022221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (122220425009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11569721 + ... + 11580279.

It is an arithmetic number, because the mean of its divisors is an integer number (2990433600).

Almost surely, 2122220425000 is an apocalyptic number.

122220425000 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 122220425000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143540812800).

122220425000 is an abundant number, since it is smaller than the sum of its proper divisors (164861200600).

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

122220425000 is an equidigital number, since it uses as much as digits as its factorization.

122220425000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11053 (or 11029 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 122220425000 its reverse (524022221), we get a palindrome (122744447221).

The spelling of 122220425000 in words is "one hundred twenty-two billion, two hundred twenty million, four hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 463 500 625 926 1000 1250 1852 2315 2500 3125 3704 4630 5000 6250 9260 10559 11575 12500 18520 21118 23150 25000 42236 46300 52795 57875 84472 92600 105590 115750 211180 231500 263975 289375 422360 463000 527950 578750 1055900 1157500 1319875 1446875 2111800 2315000 2639750 2893750 4888817 5279500 5787500 6599375 9777634 10559000 11575000 13198750 19555268 24444085 26397500 32996875 39110536 48888170 52795000 65993750 97776340 122220425 131987500 195552680 244440850 263975000 488881700 611102125 977763400 1222204250 2444408500 3055510625 4888817000 6111021250 12222042500 15277553125 24444085000 30555106250 61110212500 122220425000