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12120048 = 2432174951
BaseRepresentation
bin101110001110…
…111111110000
3211210202120200
4232032333300
511100320143
61111435200
7205006263
oct56167760
924722520
1012120048
116928a76
124085b00
132684835
141876cda
1510e61d3
hexb8eff0

12120048 has 60 divisors (see below), whose sum is σ = 35921808. Its totient is φ = 3801600.

The previous prime is 12120047. The next prime is 12120049. The reversal of 12120048 is 84002121.

It is an interprime number because it is at equal distance from previous prime (12120047) and next prime (12120049).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12120048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28 + ... + 4923.

Almost surely, 212120048 is an apocalyptic number.

12120048 is a gapful number since it is divisible by the number (18) 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 12120048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17960904).

12120048 is an abundant number, since it is smaller than the sum of its proper divisors (23801760).

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

12120048 is a wasteful number, since it uses less digits than its factorization.

12120048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12120048 is about 3481.3859309189. The cubic root of 12120048 is about 229.7037648068.

Adding to 12120048 its reverse (84002121), we get a palindrome (96122169).

The spelling of 12120048 in words is "twelve million, one hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 4951 9902 14853 19804 29706 39608 44559 59412 79216 84167 89118 118824 168334 178236 237648 252501 336668 356472 505002 673336 712944 757503 1010004 1346672 1515006 2020008 3030012 4040016 6060024 12120048