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12352120 = 2351167419
BaseRepresentation
bin101111000111…
…101001111000
3212020112220221
4233013221320
511130231440
61120425424
7206664004
oct57075170
925215827
1012352120
116a77370
124178274
132736361
1418d7704
15113ed4a
hexbc7a78

12352120 has 64 divisors (see below), whose sum is σ = 30844800. Its totient is φ = 4414080.

The previous prime is 12352103. The next prime is 12352141. The reversal of 12352120 is 2125321.

It is a junction number, because it is equal to n+sod(n) for n = 12352094 and 12352103.

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, 29271 + ... + 29689.

It is an arithmetic number, because the mean of its divisors is an integer number (481950).

Almost surely, 212352120 is an apocalyptic number.

12352120 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 12352120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15422400).

12352120 is an abundant number, since it is smaller than the sum of its proper divisors (18492680).

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

12352120 is a wasteful number, since it uses less digits than its factorization.

12352120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 12352120 is about 3514.5582937263. The cubic root of 12352120 is about 231.1606111783.

Adding to 12352120 its reverse (2125321), we get a palindrome (14477441).

The spelling of 12352120 in words is "twelve million, three hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 419 440 536 670 737 838 1340 1474 1676 2095 2680 2948 3352 3685 4190 4609 5896 7370 8380 9218 14740 16760 18436 23045 28073 29480 36872 46090 56146 92180 112292 140365 184360 224584 280730 308803 561460 617606 1122920 1235212 1544015 2470424 3088030 6176060 12352120