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12331332201132 = 2232748933857941
BaseRepresentation
bin1011001101110001110010…
…1011001110101010101100
31121122212022202001212022100
42303130130223032222230
53104014032020414012
642120534045015100
72411623623161130
oct263343453165254
947585282055270
1012331332201132
113a247636065aa
121471a8a254490
136b5abb8b4379
14308ba806d3c0
15165b761598dc
hexb371caceaac

12331332201132 has 36 divisors (see below), whose sum is σ = 35623848581776. Its totient is φ = 3523237771680.

The previous prime is 12331332201119. The next prime is 12331332201161. The reversal of 12331332201132 is 23110223313321.

12331332201132 is a `hidden beast` number, since 1 + 2 + 331 + 3 + 322 + 0 + 1 + 1 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×123313322011322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12331332201096 and 12331332201105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24466928719 + ... + 24466929222.

Almost surely, 212331332201132 is an apocalyptic number.

12331332201132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12331332201132 is an abundant number, since it is smaller than the sum of its proper divisors (23292516380644).

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

12331332201132 is a wasteful number, since it uses less digits than its factorization.

12331332201132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48933857958 (or 48933857953 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12331332201132 its reverse (23110223313321), we get a palindrome (35441555514453).

The spelling of 12331332201132 in words is "twelve trillion, three hundred thirty-one billion, three hundred thirty-two million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 48933857941 97867715882 146801573823 195735431764 293603147646 342537005587 440404721469 587206295292 685074011174 880809442938 1027611016761 1370148022348 1761618885876 2055222033522 3082833050283 4110444067044 6165666100566 12331332201132