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12112320 = 2635113137
BaseRepresentation
bin101110001101…
…000111000000
3211210100222110
4232031013000
511100043240
61111335320
7204644613
oct56150700
924710873
1012112320
116923190
124081540
13268116c
14187417a
1510e3c80
hexb8d1c0

12112320 has 224 divisors, whose sum is σ = 44476416. Its totient is φ = 2764800.

The previous prime is 12112319. The next prime is 12112333. The reversal of 12112320 is 2321121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12112296 and 12112305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327342 + ... + 327378.

Almost surely, 212112320 is an apocalyptic number.

12112320 is a gapful number since it is divisible by the number (10) 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 12112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238208).

12112320 is an abundant number, since it is smaller than the sum of its proper divisors (32364096).

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

12112320 is a wasteful number, since it uses less digits than its factorization.

12112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12112320 is about 3480.2758511359. The cubic root of 12112320 is about 229.6549330938.

Adding to 12112320 its reverse (2321121), we get a palindrome (14433441).

The spelling of 12112320 in words is "twelve million, one hundred twelve thousand, three hundred twenty".