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12013213330032 = 2431072339021287
BaseRepresentation
bin1010111011010000101101…
…0100000010101001110000
31120112110012111021211001020
42232310023110002221300
53033311030103030112
641314443301335440
72346632424323415
oct256641324025160
946473174254036
1012013213330032
113911858817272
1214202a8a07580
13691ac2035075
142d762a7da10c
1515c757e6148c
hexaed0b502a70

12013213330032 has 40 divisors (see below), whose sum is σ = 31324173088896. Its totient is φ = 3966980101056.

The previous prime is 12013213329967. The next prime is 12013213330039. The reversal of 12013213330032 is 23003331231021.

It is a super-3 number, since 3×120132133300323 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12013213329984 and 12013213330011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013213330039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1169505508 + ... + 1169515779.

Almost surely, 212013213330032 is an apocalyptic number.

12013213330032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12013213330032 is an abundant number, since it is smaller than the sum of its proper divisors (19310959758864).

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

12013213330032 is a wasteful number, since it uses less digits than its factorization.

12013213330032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339021405 (or 2339021399 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12013213330032 its reverse (23003331231021), we get a palindrome (35016544561053).

The spelling of 12013213330032 in words is "twelve trillion, thirteen billion, two hundred thirteen million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 2339021287 4678042574 7017063861 9356085148 14034127722 18712170296 28068255444 37424340592 56136510888 112273021776 250275277709 500550555418 750825833127 1001101110836 1501651666254 2002202221672 3003303332508 4004404443344 6006606665016 12013213330032