Search a number
-
+
12237225000 = 2335571113163
BaseRepresentation
bin10110110010110010…
…10011110000101000
31011120211111102212120
423121121103300220
5200030212200000
65342142111240
7612151460550
oct133131236050
934524442776
1012237225000
11520a65a2a0
12245627b520
131200353550
14841330160
154b94ce6a0
hex2d9653c28

12237225000 has 768 divisors, whose sum is σ = 51656693760. Its totient is φ = 2332800000.

The previous prime is 12237224981. The next prime is 12237225001. The reversal of 12237225000 is 52273221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12237225001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75074919 + ... + 75075081.

It is an arithmetic number, because the mean of its divisors is an integer number (67261320).

Almost surely, 212237225000 is an apocalyptic number.

12237225000 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 12237225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25828346880).

12237225000 is an abundant number, since it is smaller than the sum of its proper divisors (39419468760).

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

12237225000 is a wasteful number, since it uses less digits than its factorization.

12237225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

Adding to 12237225000 its reverse (52273221), we get a palindrome (12289498221).

The spelling of 12237225000 in words is "twelve billion, two hundred thirty-seven million, two hundred twenty-five thousand".