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122232133232 = 2411738321381
BaseRepresentation
bin111000111010110011…
…0100101011001110000
3102200111120022201122122
41301311212211121300
54000312411230412
6132052550453412
711555011663316
oct1616546453160
9380446281578
10122232133232
1147924941930
121b833364268
13b6ac789971
145cb798a0b6
1532a5e1d572
hex1c759a5670

122232133232 has 120 divisors (see below), whose sum is σ = 265278692208. Its totient is φ = 54099532800.

The previous prime is 122232133229. The next prime is 122232133259. The reversal of 122232133232 is 232331232221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88509182 + ... + 88510562.

Almost surely, 2122232133232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122232133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132639346104).

122232133232 is an abundant number, since it is smaller than the sum of its proper divisors (143046558976).

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

122232133232 is a wasteful number, since it uses less digits than its factorization.

122232133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1550 counting only the distinct ones).

The product of its digits is 5184, while the sum is 26.

Adding to 122232133232 its reverse (232331232221), we get a palindrome (354563365453).

The spelling of 122232133232 in words is "one hundred twenty-two billion, two hundred thirty-two million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 73 83 88 146 166 176 292 332 584 664 803 913 1168 1328 1381 1606 1826 2762 3212 3652 5524 6059 6424 6889 7304 11048 12118 12848 13778 14608 15191 22096 24236 27556 30382 48472 55112 60764 66649 75779 96944 100813 110224 114623 121528 133298 151558 201626 229246 243056 266596 303116 403252 458492 502897 533192 606232 806504 916984 1005794 1066384 1108943 1212464 1260853 1613008 1833968 2011588 2217886 2521706 4023176 4435772 5043412 5531867 8046352 8367479 8871544 9513709 10086824 11063734 16734958 17743088 19027418 20173648 22127468 33469916 38054836 44254936 66939832 76109672 88509872 92042269 104650799 133879664 152219344 184084538 209301598 368169076 418603196 694500757 736338152 837206392 1389001514 1472676304 1674412784 2778003028 5556006056 7639508327 11112012112 15279016654 30558033308 61116066616 122232133232