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12120500 = 225373463
BaseRepresentation
bin101110001111…
…000110110100
3211210210012102
4232033012310
511100324000
61111441232
7205010510
oct56170664
924723172
1012120500
116929347
124086218
132684ac2
141877140
1510e63d5
hexb8f1b4

12120500 has 48 divisors (see below), whose sum is σ = 30261504. Its totient is φ = 4154400.

The previous prime is 12120491. The next prime is 12120503. The reversal of 12120500 is 502121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120503) 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 15 ways as a sum of consecutive naturals, for example, 1769 + ... + 5231.

It is an arithmetic number, because the mean of its divisors is an integer number (630448).

Almost surely, 212120500 is an apocalyptic number.

12120500 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 12120500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15130752).

12120500 is an abundant number, since it is smaller than the sum of its proper divisors (18141004).

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

12120500 is a wasteful number, since it uses less digits than its factorization.

12120500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 12120500 is about 3481.4508469889. The cubic root of 12120500 is about 229.7066202634.

Adding to 12120500 its reverse (502121), we get a palindrome (12622621).

The spelling of 12120500 in words is "twelve million, one hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1750 3463 3500 6926 13852 17315 24241 34630 48482 69260 86575 96964 121205 173150 242410 346300 432875 484820 606025 865750 1212050 1731500 2424100 3030125 6060250 12120500