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12414120 = 2335103451
BaseRepresentation
bin101111010110…
…110010101000
3212100200222020
4233112302220
511134222440
61122024440
7210342525
oct57266250
925320866
1012414120
117009a04
1241a8120
132758644
14191214c
1511533d0
hexbd6ca8

12414120 has 32 divisors (see below), whose sum is σ = 37242720. Its totient is φ = 3310400.

The previous prime is 12414113. The next prime is 12414121. The reversal of 12414120 is 2141421.

It is a super-2 number, since 2×124141202 = 308220750748800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12414120.

It is not an unprimeable number, because it can be changed into a prime (12414121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51606 + ... + 51845.

It is an arithmetic number, because the mean of its divisors is an integer number (1163835).

Almost surely, 212414120 is an apocalyptic number.

12414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414120 is an abundant number, since it is smaller than the sum of its proper divisors (24828600).

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

12414120 is a wasteful number, since it uses less digits than its factorization.

12414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103465 (or 103461 counting only the distinct ones).

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

The square root of 12414120 is about 3523.3677071802. The cubic root of 12414120 is about 231.5467269585.

Adding to 12414120 its reverse (2141421), we get a palindrome (14555541).

The spelling of 12414120 in words is "twelve million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 103451 206902 310353 413804 517255 620706 827608 1034510 1241412 1551765 2069020 2482824 3103530 4138040 6207060 12414120