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12012500 = 2255312
BaseRepresentation
bin101101110100…
…101111010100
3211121022001102
4231310233110
511033400000
61105245232
7204050603
oct55645724
924538042
1012012500
116865195
124033818
1326478b6
141849a3a
1510c43d5
hexb74bd4

12012500 has 54 divisors (see below), whose sum is σ = 27150606. Its totient is φ = 4650000.

The previous prime is 12012493. The next prime is 12012521. The reversal of 12012500 is 521021.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 5550736 + 6461764 = 2356^2 + 2542^2 .

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 387485 + ... + 387515.

It is an arithmetic number, because the mean of its divisors is an integer number (502789).

Almost surely, 212012500 is an apocalyptic number.

12012500 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 12012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575303).

12012500 is an abundant number, since it is smaller than the sum of its proper divisors (15138106).

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

12012500 is an frugal number, since it uses more digits than its factorization.

12012500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 38 counting only the distinct ones).

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

The square root of 12012500 is about 3465.9053651247. The cubic root of 12012500 is about 229.0223149692.

Multiplying 12012500 by its product of nonzero digits (20), we get a square (240250000 = 155002).

12012500 divided by its product of nonzero digits (20) gives a square (600625 = 7752).

Adding to 12012500 its reverse (521021), we get a palindrome (12533521).

The spelling of 12012500 in words is "twelve million, twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 125 155 250 310 500 620 625 775 961 1250 1550 1922 2500 3100 3125 3844 3875 4805 6250 7750 9610 12500 15500 19220 19375 24025 38750 48050 77500 96100 96875 120125 193750 240250 387500 480500 600625 1201250 2402500 3003125 6006250 12012500