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122231133120 = 26351042712211
BaseRepresentation
bin111000111010110001…
…0110001001111000000
3102200111111102220202110
41301311202301033000
54000312132224440
6132052513215320
711555000326455
oct1616542611700
9380444386673
10122231133120
1147924319498
121b832b61540
13b6ac4c9695
145cb77a982c
1532a5cc2080
hex1c758b13c0

122231133120 has 112 divisors (see below), whose sum is σ = 388152851328. Its totient is φ = 32589173760.

The previous prime is 122231133119. The next prime is 122231133121. The reversal of 122231133120 is 21331132221.

It is an interprime number because it is at equal distance from previous prime (122231133119) and next prime (122231133121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122231133121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10003815 + ... + 10016025.

Almost surely, 2122231133120 is an apocalyptic number.

122231133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122231133120 is an abundant number, since it is smaller than the sum of its proper divisors (265921718208).

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

122231133120 is a wasteful number, since it uses less digits than its factorization.

122231133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22658 (or 22648 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122231133120 its reverse (21331132221), we get a palindrome (143562265341).

The spelling of 122231133120 in words is "one hundred twenty-two billion, two hundred thirty-one million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 10427 12211 20854 24422 31281 36633 41708 48844 52135 61055 62562 73266 83416 97688 104270 122110 125124 146532 156405 166832 183165 195376 208540 244220 250248 293064 312810 333664 366330 390752 417080 488440 500496 586128 625620 667328 732660 781504 834160 976880 1000992 1172256 1251240 1465320 1668320 1953760 2001984 2344512 2502480 2930640 3336640 3907520 5004960 5861280 10009920 11722560 127324097 254648194 381972291 509296388 636620485 763944582 1018592776 1273240970 1527889164 1909861455 2037185552 2546481940 3055778328 3819722910 4074371104 5092963880 6111556656 7639445820 8148742208 10185927760 12223113312 15278891640 20371855520 24446226624 30557783280 40743711040 61115566560 122231133120