Search a number
-
+
12232125200 = 2452149205237
BaseRepresentation
bin10110110010001011…
…10110101100010000
31011120110220100021002
423121011312230100
5200022411001300
65341440521132
7612060230411
oct133105665420
934513810232
1012232125200
115207796789
1224546201a8
1311cc289209
148407a3808
154b8d235d5
hex2d9176b10

12232125200 has 60 divisors (see below), whose sum is σ = 29585057700. Its totient is φ = 4859988480.

The previous prime is 12232125193. The next prime is 12232125203. The reversal of 12232125200 is 252123221.

It can be written as a sum of positive squares in 6 ways, for example, as 2097273616 + 10134851584 = 45796^2 + 100672^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12232125203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43019 + ... + 162218.

It is an arithmetic number, because the mean of its divisors is an integer number (493084295).

Almost surely, 212232125200 is an apocalyptic number.

12232125200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12232125200 is an abundant number, since it is smaller than the sum of its proper divisors (17352932500).

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

12232125200 is a wasteful number, since it uses less digits than its factorization.

12232125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205404 (or 205393 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 12232125200 its reverse (252123221), we get a palindrome (12484248421).

The spelling of 12232125200 in words is "twelve billion, two hundred thirty-two million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 298 400 596 745 1192 1490 2384 2980 3725 5960 7450 11920 14900 29800 59600 205237 410474 820948 1026185 1641896 2052370 3283792 4104740 5130925 8209480 10261850 16418960 20523700 30580313 41047400 61160626 82094800 122321252 152901565 244642504 305803130 489285008 611606260 764507825 1223212520 1529015650 2446425040 3058031300 6116062600 12232125200