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122340324132 = 22351319509573
BaseRepresentation
bin111000111110000001…
…1010011001100100100
3102200210002220101200000
41301330003103030210
54001023110333012
6132111413421300
711560464411555
oct1617403231444
9380702811600
10122340324132
114797aa182a4
121b86363a830
13b6c900a750
145cc80b032c
1532b068eddc
hex1c7c0d3324

122340324132 has 144 divisors (see below), whose sum is σ = 363550474560. Its totient is φ = 35661886848.

The previous prime is 122340324091. The next prime is 122340324157. The reversal of 122340324132 is 231423043221.

122340324132 is a `hidden beast` number, since 1 + 223 + 403 + 2 + 4 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 122340324096 and 122340324105.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 14703 + ... + 494870.

Almost surely, 2122340324132 is an apocalyptic number.

122340324132 is a gapful number since it is divisible by the number (12) 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 122340324132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181775237280).

122340324132 is an abundant number, since it is smaller than the sum of its proper divisors (241210150428).

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

122340324132 is a wasteful number, since it uses less digits than its factorization.

122340324132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509624 (or 509610 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 122340324132 its reverse (231423043221), we get a palindrome (353763367353).

The spelling of 122340324132 in words is "one hundred twenty-two billion, three hundred forty million, three hundred twenty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 81 108 114 117 156 162 171 228 234 243 247 324 342 351 468 486 494 513 684 702 741 972 988 1026 1053 1404 1482 1539 2052 2106 2223 2964 3078 3159 4212 4446 4617 6156 6318 6669 8892 9234 12636 13338 18468 20007 26676 40014 60021 80028 120042 240084 509573 1019146 1528719 2038292 3057438 4586157 6114876 6624449 9172314 9681887 13248898 13758471 18344628 19363774 19873347 26497796 27516942 29045661 38727548 39746694 41275413 55033884 58091322 59620041 79493388 82550826 87136983 116182644 119240082 123826239 125864531 165101652 174273966 178860123 238480164 247652478 251729062 261410949 348547932 357720246 377593593 495304956 503458124 522821898 536580369 715440492 755187186 784232847 1045643796 1073160738 1132780779 1510374372 1568465694 1609741107 2146321476 2265561558 2352698541 3136931388 3219482214 3398342337 4531123116 4705397082 6438964428 6796684674 9410794164 10195027011 13593369348 20390054022 30585081033 40780108044 61170162066 122340324132