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12120040 = 235535717
BaseRepresentation
bin101110001110…
…111111101000
3211210202120101
4232032333220
511100320130
61111435144
7205006252
oct56167750
924722511
1012120040
116928a69
124085ab4
13268482a
141876cd2
1510e61ca
hexb8efe8

12120040 has 32 divisors (see below), whose sum is σ = 27789480. Its totient is φ = 4755712.

The previous prime is 12120019. The next prime is 12120047. The reversal of 12120040 is 4002121.

It can be written as a sum of positive squares in 4 ways, for example, as 11009124 + 1110916 = 3318^2 + 1054^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12119999 and 12120026.

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 7 ways as a sum of consecutive naturals, for example, 739 + ... + 4978.

Almost surely, 212120040 is an apocalyptic number.

12120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12120040 is an abundant number, since it is smaller than the sum of its proper divisors (15669440).

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

12120040 is a wasteful number, since it uses less digits than its factorization.

12120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5777 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 12120040 is about 3481.3847819510. The cubic root of 12120040 is about 229.7037142672.

Adding to 12120040 its reverse (4002121), we get a palindrome (16122161).

The spelling of 12120040 in words is "twelve million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 5717 11434 22868 28585 45736 57170 114340 228680 303001 606002 1212004 1515005 2424008 3030010 6060020 12120040