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12112011001012 = 22132371934016257
BaseRepresentation
bin1011000001000000110000…
…0111001111110010110100
31120212220012212112111221111
42300100030013033302310
53041420344304013022
641432103034324404
72360030631553456
oct260201407176264
946786185474844
1012112011001012
11394a7474a581a
12143747bb89704
1369b208716200
142dc31dcc22d6
151600db850477
hexb040c1cfcb4

12112011001012 has 144 divisors (see below), whose sum is σ = 23757244548912. Its totient is φ = 5396535705600.

The previous prime is 12112011001007. The next prime is 12112011001033. The reversal of 12112011001012 is 21010011021121.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 1827893184016 + 10284117816996 = 1351996^2 + 3206886^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 12112011000983 and 12112011001001.

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 47 ways as a sum of consecutive naturals, for example, 1935750588 + ... + 1935756844.

It is an arithmetic number, because the mean of its divisors is an integer number (164980864923).

Almost surely, 212112011001012 is an apocalyptic number.

It is an amenable number.

12112011001012 is a deficient number, since it is larger than the sum of its proper divisors (11645233547900).

12112011001012 is a wasteful number, since it uses less digits than its factorization.

12112011001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6918 (or 6903 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12112011001012 its reverse (21010011021121), we get a palindrome (33122022022133).

The spelling of 12112011001012 in words is "twelve trillion, one hundred twelve billion, eleven million, one thousand, twelve".

Divisors: 1 2 4 13 26 37 52 74 148 169 193 338 386 401 481 676 772 802 962 1604 1924 2509 5018 5213 6253 6257 7141 10036 10426 12506 12514 14282 14837 20852 25012 25028 28564 29674 32617 59348 65234 67769 77393 81341 92833 130468 135538 154786 162682 185666 192881 231509 271076 309572 325364 371332 385762 463018 771524 926036 1006109 1057433 1206829 1207601 2012218 2114866 2413658 2415202 2507453 2509057 2863541 3009617 4024436 4229732 4827316 4830404 5014906 5018114 5727082 6019234 10029812 10036228 11454164 12038468 13079417 15698813 26158834 31397626 32617741 37226033 39125021 44681237 52317668 62795252 65235482 74452066 78250042 89362474 92835109 130470964 148904132 156500084 178724948 185670218 204084569 371340436 408169138 424030633 483938429 484248001 580856081 816338276 848061266 967876858 968496002 1161712162 1206856417 1696122532 1935753716 1936992004 2323424324 2413712834 4827425668 6295224013 7551129053 12590448026 15102258106 15689133421 17917176037 25180896052 30204516212 31378266842 35834352074 62756533684 71668704148 81837912169 163675824338 232923288481 327351648676 465846576962 931693153924 3028002750253 6056005500506 12112011001012