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12023312313132 = 22321193580148259
BaseRepresentation
bin1010111011110110010101…
…0000100110101100101100
31120120102021022022022110100
42232331211100212230230
53033442220423010012
641323233341511100
72350440613264011
oct256754520465454
946512238268410
1012023312313132
11391607039879a
121422246b72490
13692a4139b203
142d7d07b67708
1515cb498728dc
hexaef65426b2c

12023312313132 has 72 divisors (see below), whose sum is σ = 30423611116080. Its totient is φ = 4003638105600.

The previous prime is 12023312313097. The next prime is 12023312313157. The reversal of 12023312313132 is 23131321332021.

12023312313132 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 3 + 312 + 31 + 313 + 2 = 666.

It is a super-2 number, since 2×120233123131322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12023312313096 and 12023312313105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249117219 + ... + 249165477.

It is an arithmetic number, because the mean of its divisors is an integer number (422550154390).

Almost surely, 212023312313132 is an apocalyptic number.

12023312313132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12023312313132 is an abundant number, since it is smaller than the sum of its proper divisors (18400298802948).

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

12023312313132 is a wasteful number, since it uses less digits than its factorization.

12023312313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55263 (or 55258 counting only the distinct ones).

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

Adding to 12023312313132 its reverse (23131321332021), we get a palindrome (35154633645153).

The spelling of 12023312313132 in words is "twelve trillion, twenty-three billion, three hundred twelve million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1193 2386 3579 4772 5801 7158 10737 11602 14316 17403 21474 23204 34806 42948 48259 52209 69612 96518 104418 144777 193036 208836 289554 434331 579108 868662 1737324 6920593 13841186 20761779 27682372 41523558 57572987 62285337 83047116 115145974 124570674 172718961 230291948 249141348 279950459 345437922 518156883 559900918 690875844 839851377 1036313766 1119801836 1679702754 2072627532 2519554131 3359405508 5039108262 10078216524 333980897587 667961795174 1001942692761 1335923590348 2003885385522 3005828078283 4007770771044 6011656156566 12023312313132