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12112111001032 = 2372343393155633
BaseRepresentation
bin1011000001000001001000…
…0100101101110111001000
31120212220110211201001011221
42300100102010231313020
53041421100404013112
641432121005531424
72360033254545640
oct260202204556710
946786424631157
1012112111001032
11394a798997269
1214374a9573b74
1369b223359a13
142dc32d2b3520
151600e5504e07
hexb041212ddc8

12112111001032 has 128 divisors (see below), whose sum is σ = 27720365967360. Its totient is φ = 4848422261760.

The previous prime is 12112111001021. The next prime is 12112111001057. The reversal of 12112111001032 is 23010011121121.

It is a happy number.

It is a super-3 number, since 3×121121110010323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12112111000997 and 12112111001015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217686688 + ... + 217742320.

It is an arithmetic number, because the mean of its divisors is an integer number (216565359120).

Almost surely, 212112111001032 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 12112111001032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860182983680).

12112111001032 is an abundant number, since it is smaller than the sum of its proper divisors (15608254966328).

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

12112111001032 is a wasteful number, since it uses less digits than its factorization.

12112111001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59643 (or 59639 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12112111001032 its reverse (23010011121121), we get a palindrome (35122122122153).

The spelling of 12112111001032 in words is "twelve trillion, one hundred twelve billion, one hundred eleven million, one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 23 28 43 46 56 86 92 161 172 184 301 322 344 602 644 989 1204 1288 1978 2408 3931 3956 6923 7862 7912 13846 15724 27517 27692 31448 55034 55384 55633 90413 110068 111266 169033 180826 220136 222532 338066 361652 389431 445064 632891 676132 723304 778862 1183231 1265782 1279559 1352264 1557724 2366462 2392219 2531564 2559118 3115448 3887759 4732924 4784438 5063128 5118236 7775518 8956913 9465848 9568876 10236472 15551036 16745533 17913826 19137752 27214313 31102072 33491066 35827652 54428626 55021037 66982132 71655304 108857252 110042074 133964264 217714504 218693323 220084148 385147259 437386646 440168296 770294518 874773292 1530853261 1540589036 1749546584 3061706522 3081178072 5029946429 6123413044 9403812889 10059892858 12246826088 18807625778 20119785716 35209625003 37615251556 40239571432 65826690223 70419250006 75230503112 131653380446 140838500012 216287696447 263306760892 281677000024 432575392894 526613521784 865150785788 1514013875129 1730301571576 3028027750258 6056055500516 12112111001032