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12112131131232 = 2531127534166299
BaseRepresentation
bin1011000001000001001101…
…0001100000011101100000
31120212220112020120202121220
42300100103101200131200
53041421121032144412
641432123005215040
72360033620626366
oct260202321403540
946786466522556
1012112131131232
11394a7a92963a0
1214374b4261480
1369b227587492
142dc331c33636
151600e717e68c
hexb0413460760

12112131131232 has 96 divisors (see below), whose sum is σ = 34697346364800. Its totient is φ = 3669008670720.

The previous prime is 12112131131203. The next prime is 12112131131251. The reversal of 12112131131232 is 23213113121121.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824019 + ... + 4990317.

It is an arithmetic number, because the mean of its divisors is an integer number (361430691300).

Almost surely, 212112131131232 is an apocalyptic number.

12112131131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12112131131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17348673182400).

12112131131232 is an abundant number, since it is smaller than the sum of its proper divisors (22585215233568).

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

12112131131232 is a wasteful number, since it uses less digits than its factorization.

12112131131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4169076 (or 4169068 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

Adding to 12112131131232 its reverse (23213113121121), we get a palindrome (35325244252353).

The spelling of 12112131131232 in words is "twelve trillion, one hundred twelve billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2753 5506 8259 11012 16518 22024 30283 33036 44048 60566 66072 88096 90849 121132 132144 181698 242264 264288 363396 484528 726792 969056 1453584 2907168 4166299 8332598 12498897 16665196 24997794 33330392 45829289 49995588 66660784 91658578 99991176 133321568 137487867 183317156 199982352 274975734 366634312 399964704 549951468 733268624 1099902936 1466537248 2199805872 4399611744 11469821147 22939642294 34409463441 45879284588 68818926882 91758569176 126168032617 137637853764 183517138352 252336065234 275275707528 367034276704 378504097851 504672130468 550551415056 757008195702 1009344260936 1101102830112 1514016391404 2018688521872 3028032782808 4037377043744 6056065565616 12112131131232