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12124140 = 2235728867
BaseRepresentation
bin101110001111…
…111111101100
3211210222012020
4232033333230
511100433030
61111510140
7205024230
oct56177754
924728166
1012124140
116931056
124088350
132686662
1418785c0
1510e7510
hexb8ffec

12124140 has 48 divisors (see below), whose sum is σ = 38798592. Its totient is φ = 2771136.

The previous prime is 12124139. The next prime is 12124153. The reversal of 12124140 is 4142121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14014 + ... + 14853.

It is an arithmetic number, because the mean of its divisors is an integer number (808304).

Almost surely, 212124140 is an apocalyptic number.

12124140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12124140 is an abundant number, since it is smaller than the sum of its proper divisors (26674452).

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

12124140 is a wasteful number, since it uses less digits than its factorization.

12124140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28886 (or 28884 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12124140 is about 3481.9735783030. The cubic root of 12124140 is about 229.7296129455.

Adding to 12124140 its reverse (4142121), we get a palindrome (16266261).

The spelling of 12124140 in words is "twelve million, one hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 28867 57734 86601 115468 144335 173202 202069 288670 346404 404138 433005 577340 606207 808276 866010 1010345 1212414 1732020 2020690 2424828 3031035 4041380 6062070 12124140