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132222121212132 = 223271134643282807
BaseRepresentation
bin11110000100000101011100…
…100100001111100011100100
3122100011022101222002211111100
4132010011130210033203210
5114312311401012242012
61145114000503240100
736564506265312420
oct3604053444174344
9570138358084440
10132222121212132
11391480a5445306
12129b5648a49030
1358a165311a253
142491828a23b80
151044602abd8dc
hex78415c90f8e4

132222121212132 has 72 divisors (see below), whose sum is σ = 385355326801536. Its totient is φ = 37443432547584.

The previous prime is 132222121212107. The next prime is 132222121212133. The reversal of 132222121212132 is 231212121222231.

132222121212132 is a `hidden beast` number, since 1 + 3 + 222 + 212 + 1 + 212 + 13 + 2 = 666.

It is a super-4 number, since 4×1322221212121324 (a number of 58 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132222121212096 and 132222121212105.

It is not an unprimeable number, because it can be changed into a prime (132222121212133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2321612928 + ... + 2321669879.

It is an arithmetic number, because the mean of its divisors is an integer number (5352157316688).

Almost surely, 2132222121212132 is an apocalyptic number.

132222121212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132222121212132 is an abundant number, since it is smaller than the sum of its proper divisors (253133205589404).

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

132222121212132 is a wasteful number, since it uses less digits than its factorization.

132222121212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643282937 (or 4643282932 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 132222121212132 its reverse (231212121222231), we get a palindrome (363434242434363).

The spelling of 132222121212132 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1356 1582 2034 2373 3164 4068 4746 7119 9492 14238 28476 4643282807 9286565614 13929848421 18573131228 27859696842 32502979649 41789545263 55719393684 65005959298 83579090526 97508938947 130011918596 167158181052 195017877894 292526816841 390035755788 524690957191 585053633682 1049381914382 1170107267364 1574072871573 2098763828764 3148145743146 3672836700337 4722218614719 6296291486292 7345673400674 9444437229438 11018510101011 14691346801348 18888874458876 22037020202022 33055530303033 44074040404044 66111060606066 132222121212132