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120531520332 = 2232192317834297
BaseRepresentation
bin111000001000000111…
…1010000101101001100
3102112010001022122022200
41300100033100231030
53433322032122312
6131212120441500
711464612006236
oct1602017205514
9375101278280
10120531520332
11471319a0223
121b439919290
13b49b357442
145b95b85256
1532069980dc
hex1c103d0b4c

120531520332 has 144 divisors (see below), whose sum is σ = 334922165760. Its totient is φ = 36378802944.

The previous prime is 120531520331. The next prime is 120531520357. The reversal of 120531520332 is 233025135021.

It is a happy number.

120531520332 is a `hidden beast` number, since 12 + 0 + 5 + 315 + 2 + 0 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120531520296 and 120531520305.

It is not an unprimeable number, because it can be changed into a prime (120531520331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28048008 + ... + 28052304.

Almost surely, 2120531520332 is an apocalyptic number.

120531520332 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 120531520332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167461082880).

120531520332 is an abundant number, since it is smaller than the sum of its proper divisors (214390645428).

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

120531520332 is a wasteful number, since it uses less digits than its factorization.

120531520332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 6127 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 120531520332 its reverse (233025135021), we get a palindrome (353556655353).

The spelling of 120531520332 in words is "one hundred twenty billion, five hundred thirty-one million, five hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 874 1311 1748 1783 2622 3566 3933 4297 5244 5349 7132 7866 8594 10698 12891 15732 16047 17188 21396 25782 32094 33877 38673 41009 51564 64188 67754 77346 81643 82018 98831 101631 123027 135508 154692 163286 164036 197662 203262 244929 246054 296493 304893 326572 369081 395324 406524 489858 492108 592986 609786 734787 738162 779171 889479 979716 1185972 1219572 1469574 1476324 1558342 1778958 1877789 2337513 2939148 3116684 3557916 3755578 4675026 5633367 7012539 7511156 7661551 9350052 11266734 14025078 15323102 16900101 22533468 22984653 28050156 30646204 33800202 45969306 67600404 68953959 91938612 137907918 145569469 176215673 275815836 291138938 352431346 436708407 528647019 582277876 704862692 873416814 1057294038 1310125221 1585941057 1746833628 2114588076 2620250442 3171882114 3348097787 5240500884 6343764228 6696195574 10044293361 13392391148 20088586722 30132880083 40177173444 60265760166 120531520332