Search a number
-
+
12212500 = 2255977
BaseRepresentation
bin101110100101…
…100100010100
3211222110101211
4232211210110
511111300000
61113431204
7205542646
oct56454424
924873354
1012212500
116991483
12410b504
1326b7941
14189c896
1511137ba
hexba5914

12212500 has 36 divisors (see below), whose sum is σ = 26740476. Its totient is φ = 4880000.

The previous prime is 12212483. The next prime is 12212503. The reversal of 12212500 is 521221.

It can be written as a sum of positive squares in 6 ways, for example, as 7203856 + 5008644 = 2684^2 + 2238^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212503) 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 11 ways as a sum of consecutive naturals, for example, 12012 + ... + 12988.

It is an arithmetic number, because the mean of its divisors is an integer number (742791).

Almost surely, 212212500 is an apocalyptic number.

12212500 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 12212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13370238).

12212500 is an abundant number, since it is smaller than the sum of its proper divisors (14527976).

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

12212500 is an frugal number, since it uses more digits than its factorization.

12212500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 12212500 is about 3494.6387510013. The cubic root of 12212500 is about 230.2863478256.

Adding to 12212500 its reverse (521221), we get a palindrome (12733721).

It can be divided in two parts, 1221 and 2500, that added together give a square (3721 = 612).

The spelling of 12212500 in words is "twelve million, two hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 977 1250 1954 2500 3125 3908 4885 6250 9770 12500 19540 24425 48850 97700 122125 244250 488500 610625 1221250 2442500 3053125 6106250 12212500