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12882120 = 2335107351
BaseRepresentation
bin110001001001…
…000011001000
3220020110221120
4301021003020
511244211440
61140035240
7214332126
oct61110310
926213846
1012882120
1172a9589
124392b20
132890674
1419d4916
1511e6dd0
hexc490c8

12882120 has 32 divisors (see below), whose sum is σ = 38646720. Its totient is φ = 3435200.

The previous prime is 12882109. The next prime is 12882131. The reversal of 12882120 is 2128821.

It is an interprime number because it is at equal distance from previous prime (12882109) and next prime (12882131).

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

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, 53556 + ... + 53795.

It is an arithmetic number, because the mean of its divisors is an integer number (1207710).

Almost surely, 212882120 is an apocalyptic number.

12882120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12882120 is an abundant number, since it is smaller than the sum of its proper divisors (25764600).

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

12882120 is a wasteful number, since it uses less digits than its factorization.

12882120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107365 (or 107361 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12882120 is about 3589.1670342853. The cubic root of 12882120 is about 234.4206037483.

The spelling of 12882120 in words is "twelve million, eight hundred eighty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 107351 214702 322053 429404 536755 644106 858808 1073510 1288212 1610265 2147020 2576424 3220530 4294040 6441060 12882120