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122224430120 = 235132171063561
BaseRepresentation
bin111000111010100100…
…1001100110000101000
3102200111000211100222012
41301311021030300220
54000303423230440
6132052113415052
711554556341262
oct1616511146050
9380430740865
10122224430120
1147920560421
121b83086a488
13b6aacc0700
145cb6942b32
1532a53eae65
hex1c7524cc28

122224430120 has 96 divisors (see below), whose sum is σ = 315303590520. Its totient is φ = 42474332160.

The previous prime is 122224430093. The next prime is 122224430189. The reversal of 122224430120 is 21034422221.

It can be written as a sum of positive squares in 12 ways, for example, as 22448644 + 122201981476 = 4738^2 + 349574^2 .

It is a super-2 number, since 2×1222244301202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416861 + ... + 646700.

Almost surely, 2122224430120 is an apocalyptic number.

122224430120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122224430120 is an abundant number, since it is smaller than the sum of its proper divisors (193079160400).

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

122224430120 is a wasteful number, since it uses less digits than its factorization.

122224430120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063615 (or 1063598 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 122224430120 its reverse (21034422221), we get a palindrome (143258852341).

The spelling of 122224430120 in words is "one hundred twenty-two billion, two hundred twenty-four million, four hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 169 170 221 260 338 340 442 520 676 680 845 884 1105 1352 1690 1768 2210 2873 3380 4420 5746 6760 8840 11492 14365 22984 28730 57460 114920 1063561 2127122 4254244 5317805 8508488 10635610 13826293 18080537 21271220 27652586 36161074 42542440 55305172 69131465 72322148 90402685 110610344 138262930 144644296 179741809 180805370 235046981 276525860 359483618 361610740 470093962 553051720 718967236 723221480 898709045 940187924 1175234905 1437934472 1797418090 1880375848 2350469810 3055610753 3594836180 4700939620 6111221506 7189672360 9401879240 12222443012 15278053765 24444886024 30556107530 61112215060 122224430120