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12141144 = 233356209
BaseRepresentation
bin101110010100…
…001001011000
3211211211112000
4232110021120
511102004034
61112121000
7205124631
oct56241130
924754460
1012141144
116942904
124096160
132691312
141880888
1510ec599
hexb94258

12141144 has 32 divisors (see below), whose sum is σ = 33726000. Its totient is φ = 4046976.

The previous prime is 12141139. The next prime is 12141149. The reversal of 12141144 is 44114121.

It is an interprime number because it is at equal distance from previous prime (12141139) and next prime (12141149).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141149) 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, 27889 + ... + 28320.

Almost surely, 212141144 is an apocalyptic number.

It is an amenable number.

12141144 is an abundant number, since it is smaller than the sum of its proper divisors (21584856).

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

12141144 is a wasteful number, since it uses less digits than its factorization.

12141144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56224 (or 56214 counting only the distinct ones).

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

The square root of 12141144 is about 3484.4144414808. The cubic root of 12141144 is about 229.8369606987.

Adding to 12141144 its reverse (44114121), we get a palindrome (56255265).

The spelling of 12141144 in words is "twelve million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 56209 112418 168627 224836 337254 449672 505881 674508 1011762 1349016 1517643 2023524 3035286 4047048 6070572 12141144