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12001133423202 = 23711421617100003
BaseRepresentation
bin1010111010100011101101…
…0010110110101001100010
31120111022000121210222010120
42232220323102312221202
53033111310124020302
641305124455141110
72346024162652230
oct256507322665142
946438017728116
1012001133423202
113907719a484a0
121419a97374796
136909184736c1
142d6c0233b950
1515c29c6a99bc
hexaea3b4b6a62

12001133423202 has 128 divisors (see below), whose sum is σ = 30044900947968. Its totient is φ = 3104702092800.

The previous prime is 12001133423107. The next prime is 12001133423219. The reversal of 12001133423202 is 20232433110021.

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 63 ways as a sum of consecutive naturals, for example, 119957733 + ... + 120057735.

It is an arithmetic number, because the mean of its divisors is an integer number (234725788656).

Almost surely, 212001133423202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001133423202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15022450473984).

12001133423202 is an abundant number, since it is smaller than the sum of its proper divisors (18043767524766).

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

12001133423202 is a wasteful number, since it uses less digits than its factorization.

12001133423202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101064.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12001133423202 its reverse (20232433110021), we get a palindrome (32233566533223).

The spelling of 12001133423202 in words is "twelve trillion, one billion, one hundred thirty-three million, four hundred twenty-three thousand, two hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 421 462 617 842 1234 1263 1851 2526 2947 3702 4319 4631 5894 6787 8638 8841 9262 12957 13574 13893 17682 20361 25914 27786 32417 40722 47509 64834 95018 97251 100003 142527 194502 200006 259757 285054 300009 519514 600018 700021 779271 1100033 1400042 1558542 1818299 2100063 2200066 2857327 3300099 3636598 4200126 5454897 5714654 6600198 7700231 8571981 10909794 15400462 17143962 20001289 23100693 40002578 42101263 46201386 60003867 61701851 84202526 120007734 123403702 126303789 185105553 252607578 294708841 370211106 431912957 463113893 589417682 678720361 863825914 884126523 926227786 1295738871 1357440722 1389341679 1768253046 2036161083 2591477742 2778683358 3241797251 4072322166 4751042527 6483594502 9502085054 9725391753 14253127581 19450783506 25976479271 28506255162 51952958542 77929437813 155858875626 181835354897 285741271981 363670709794 545506064691 571482543962 857223815943 1091012129382 1714447631886 2000188903867 4000377807734 6000566711601 12001133423202