Search a number
-
+
122222621320 = 235178912791579
BaseRepresentation
bin111000111010100001…
…0010011001010001000
3102200110220102110202121
41301311002103022020
54000302442340240
6132052010541024
711554535065642
oct1616502231210
9380426373677
10122222621320
114791a535448
121b830137774
13b6aa809307
145cb65d1892
1532a519004a
hex1c75093288

122222621320 has 128 divisors (see below), whose sum is σ = 294865920000. Its totient is φ = 45431857152.

The previous prime is 122222621267. The next prime is 122222621333. The reversal of 122222621320 is 23126222221.

122222621320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77404291 + ... + 77405869.

It is an arithmetic number, because the mean of its divisors is an integer number (2303640000).

Almost surely, 2122222621320 is an apocalyptic number.

122222621320 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 122222621320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147432960000).

122222621320 is an abundant number, since it is smaller than the sum of its proper divisors (172643298680).

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

122222621320 is a wasteful number, since it uses less digits than its factorization.

122222621320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 122222621320 its reverse (23126222221), we get a palindrome (145348843541).

The spelling of 122222621320 in words is "one hundred twenty-two billion, two hundred twenty-two million, six hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 89 136 170 178 340 356 445 680 712 890 1279 1513 1579 1780 2558 3026 3158 3560 5116 6052 6316 6395 7565 7895 10232 12104 12632 12790 15130 15790 21743 25580 26843 30260 31580 43486 51160 53686 60520 63160 86972 107372 108715 113831 134215 140531 173944 214744 217430 227662 268430 281062 434860 455324 536860 562124 569155 702655 869720 910648 1073720 1124248 1138310 1405310 1935127 2019541 2276620 2389027 2810620 3870254 4039082 4553240 4778054 5621240 7740508 8078164 9556108 9675635 10097705 11945135 15481016 16156328 19112216 19351270 20195410 23890270 34332197 38702540 40390820 47780540 68664394 77405080 80781640 95561080 137328788 171660985 179739149 274657576 343321970 359478298 686643940 718956596 898695745 1373287880 1437913192 1797391490 3055565533 3594782980 6111131066 7189565960 12222262132 15277827665 24444524264 30555655330 61111310660 122222621320