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12427120 = 245163953
BaseRepresentation
bin101111011001…
…111101110000
3212101100210201
4233121331300
511140131440
61122204544
7210425446
oct57317560
925340721
1012427120
117018752
1241b3754
132761534
141916b96
15115719a
hexbd9f70

12427120 has 40 divisors (see below), whose sum is σ = 29100816. Its totient is φ = 4935168.

The previous prime is 12427117. The next prime is 12427139. The reversal of 12427120 is 2172421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×124271202 = 308866622988800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12564 + ... + 13516.

Almost surely, 212427120 is an apocalyptic number.

12427120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14550408).

12427120 is an abundant number, since it is smaller than the sum of its proper divisors (16673696).

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

12427120 is a wasteful number, since it uses less digits than its factorization.

12427120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 12427120 is about 3525.2120503595. The cubic root of 12427120 is about 231.6275235927.

Adding to 12427120 its reverse (2172421), we get a palindrome (14599541).

The spelling of 12427120 in words is "twelve million, four hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 953 1304 1630 1906 2608 3260 3812 4765 6520 7624 9530 13040 15248 19060 38120 76240 155339 310678 621356 776695 1242712 1553390 2485424 3106780 6213560 12427120