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12112230312 = 233271317372939
BaseRepresentation
bin10110100011111000…
…11111011110101000
31011021010022001101200
423101330133132220
5144301212332222
65321515044200
7606103154550
oct132174373650
934233261350
1012112230312
1151560469a6
122420440660
1311b049b0b0
1482c8b4160
154ad53deac
hex2d1f1f7a8

12112230312 has 384 divisors, whose sum is σ = 43919366400. Its totient is φ = 2924273664.

The previous prime is 12112230259. The next prime is 12112230313. The reversal of 12112230312 is 21303221121.

12112230312 is a `hidden beast` number, since 12 + 112 + 230 + 312 = 666.

It is a super-2 number, since 2×121122303122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12112230313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4119739 + ... + 4122677.

It is an arithmetic number, because the mean of its divisors is an integer number (114373350).

Almost surely, 212112230312 is an apocalyptic number.

12112230312 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 12112230312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21959683200).

12112230312 is an abundant number, since it is smaller than the sum of its proper divisors (31807136088).

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

12112230312 is a wasteful number, since it uses less digits than its factorization.

12112230312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12112230312 its reverse (21303221121), we get a palindrome (33415451433).

The spelling of 12112230312 in words is "twelve billion, one hundred twelve million, two hundred thirty thousand, three hundred twelve".