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12001232003312 = 241989641691997
BaseRepresentation
bin1010111010100100000100…
…1010111010000011110000
31120111022021111022100121202
42232221001022322003300
53033112010343101222
641305142340110332
72346026500611626
oct256510112720360
946438244270552
1012001232003312
11390776a65a162
121419b043953a8
13690932a0ab26
142d6c1147d516
1515c2a617d892
hexaea412ba0f0

12001232003312 has 80 divisors (see below), whose sum is σ = 24789859552800. Its totient is φ = 5612142919680.

The previous prime is 12001232003297. The next prime is 12001232003399. The reversal of 12001232003312 is 21330023210021.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 16996898 + ... + 17688894.

It is an arithmetic number, because the mean of its divisors is an integer number (309873244410).

Almost surely, 212001232003312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001232003312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12394929776400).

12001232003312 is an abundant number, since it is smaller than the sum of its proper divisors (12788627549488).

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

12001232003312 is a wasteful number, since it uses less digits than its factorization.

12001232003312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692754 (or 692748 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12001232003312 its reverse (21330023210021), we get a palindrome (33331255213333).

The spelling of 12001232003312 in words is "twelve trillion, one billion, two hundred thirty-two million, three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 89 152 178 304 356 641 712 1282 1424 1691 2564 3382 5128 6764 10256 12179 13528 24358 27056 48716 57049 97432 114098 194864 228196 456392 691997 912784 1083931 1383994 2167862 2767988 4335724 5535976 8671448 11071952 13147943 17342896 26295886 52591772 61587733 105183544 123175466 210367088 246350932 443570077 492701864 887140154 985403728 1170166927 1774280308 2340333854 3548560616 4680667708 7097121232 8427831463 9361335416 16855662926 18722670832 33711325852 39477736853 67422651704 78955473706 134845303408 157910947412 315821894824 631643789648 750077000207 1500154000414 3000308000828 6000616001656 12001232003312