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12127980 = 22351311543
BaseRepresentation
bin101110010000…
…111011101100
3211211011110110
4232100323230
511101043410
61111540020
7205041354
oct56207354
924734413
1012127980
116933a27
12408a610
132688327
141879b64
1510e8720
hexb90eec

12127980 has 48 divisors (see below), whose sum is σ = 34239744. Its totient is φ = 3207360.

The previous prime is 12127967. The next prime is 12127991. The reversal of 12127980 is 8972121.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7089 + ... + 8631.

It is an arithmetic number, because the mean of its divisors is an integer number (713328).

Almost surely, 212127980 is an apocalyptic number.

12127980 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 12127980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17119872).

12127980 is an abundant number, since it is smaller than the sum of its proper divisors (22111764).

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

12127980 is a wasteful number, since it uses less digits than its factorization.

12127980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 12127980 is about 3482.5249460700. The cubic root of 12127980 is about 229.7538639740.

The spelling of 12127980 in words is "twelve million, one hundred twenty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1543 1572 1965 2620 3086 3930 4629 6172 7715 7860 9258 15430 18516 23145 30860 46290 92580 202133 404266 606399 808532 1010665 1212798 2021330 2425596 3031995 4042660 6063990 12127980