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12114072 = 2332311541
BaseRepresentation
bin101110001101…
…100010011000
3211210110101100
4232031202120
511100122242
61111351400
7204652665
oct56154230
924713340
1012114072
116924533
124082560
132681bb9
141874a6c
1510e454c
hexb8d898

12114072 has 48 divisors (see below), whose sum is σ = 32975280. Its totient is φ = 4017600.

The previous prime is 12114061. The next prime is 12114079. The reversal of 12114072 is 27041121.

It is a super-3 number, since 3×121140723 (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12114079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22122 + ... + 22662.

It is an arithmetic number, because the mean of its divisors is an integer number (686985).

Almost surely, 212114072 is an apocalyptic number.

12114072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12114072 is an abundant number, since it is smaller than the sum of its proper divisors (20861208).

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

12114072 is a wasteful number, since it uses less digits than its factorization.

12114072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12114072 is about 3480.5275462205. The cubic root of 12114072 is about 229.6660054577. Note that the first 3 decimals are identical.

Adding to 12114072 its reverse (27041121), we get a palindrome (39155193).

The spelling of 12114072 in words is "twelve million, one hundred fourteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 311 541 622 933 1082 1244 1623 1866 2164 2488 2799 3246 3732 4328 4869 5598 6492 7464 9738 11196 12984 19476 22392 38952 168251 336502 504753 673004 1009506 1346008 1514259 2019012 3028518 4038024 6057036 12114072