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4122120 = 233534351
BaseRepresentation
bin1111101110011000001000
321202102111010
433232120020
52023401440
6224203520
750015562
oct17563010
97672433
104122120
112366012
1214695a0
13b14332
14794332
15566580
hex3ee608

4122120 has 32 divisors (see below), whose sum is σ = 12366720. Its totient is φ = 1099200.

The previous prime is 4122119. The next prime is 4122121. The reversal of 4122120 is 212214.

4122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4122119) and next prime (4122121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4122096 and 4122105.

It is not an unprimeable number, because it can be changed into a prime (4122121) 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 7 ways as a sum of consecutive naturals, for example, 17056 + ... + 17295.

It is an arithmetic number, because the mean of its divisors is an integer number (386460).

Almost surely, 24122120 is an apocalyptic number.

4122120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122120 is an abundant number, since it is smaller than the sum of its proper divisors (8244600).

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

4122120 is a wasteful number, since it uses less digits than its factorization.

4122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34365 (or 34361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4122120 is about 2030.3004703738. The cubic root of 4122120 is about 160.3393837743.

Adding to 4122120 its reverse (212214), we get a palindrome (4334334).

The spelling of 4122120 in words is "four million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 34351 68702 103053 137404 171755 206106 274808 343510 412212 515265 687020 824424 1030530 1374040 2061060 4122120