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12323120 = 245314969
BaseRepresentation
bin101111000000…
…100100110000
3212012002010212
4233000210300
511123314440
61120043252
7206513315
oct57004460
925162125
1012323120
116a575a7
124163528
1327260b4
1418cad0c
151136465
hexbc0930

12323120 has 40 divisors (see below), whose sum is σ = 29581440. Its totient is φ = 4769280.

The previous prime is 12323107. The next prime is 12323141. The reversal of 12323120 is 2132321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×123231203 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12323095 and 12323104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5 + ... + 4964.

It is an arithmetic number, because the mean of its divisors is an integer number (739536).

Almost surely, 212323120 is an apocalyptic number.

12323120 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 12323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14790720).

12323120 is an abundant number, since it is smaller than the sum of its proper divisors (17258320).

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

12323120 is a wasteful number, since it uses less digits than its factorization.

12323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 12323120 is about 3510.4301730700. The cubic root of 12323120 is about 230.9795650420.

Adding to 12323120 its reverse (2132321), we get a palindrome (14455441).

The spelling of 12323120 in words is "twelve million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 4969 9938 19876 24845 39752 49690 79504 99380 154039 198760 308078 397520 616156 770195 1232312 1540390 2464624 3080780 6161560 12323120