Search a number
-
+
12238000128 = 21233412699
BaseRepresentation
bin10110110010111000…
…10001000000000000
31011120212221211011000
423121130101000000
5200030412001003
65342210452000
7612161166444
oct133134210000
934525854130
1012238000128
1152100396a2
122456594000
1312005652c3
14841492824
154b95d41a3
hex2d9711000

12238000128 has 208 divisors, whose sum is σ = 37154376000. Its totient is φ = 3978362880.

The previous prime is 12238000127. The next prime is 12238000163. The reversal of 12238000128 is 82100083221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12238000127) 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 15 ways as a sum of consecutive naturals, for example, 4532923 + ... + 4535621.

Almost surely, 212238000128 is an apocalyptic number.

12238000128 is a gapful number since it is divisible by the number (18) 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 12238000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18577188000).

12238000128 is an abundant number, since it is smaller than the sum of its proper divisors (24916375872).

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

12238000128 is an equidigital number, since it uses as much as digits as its factorization.

12238000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 12238000128 its reverse (82100083221), we get a palindrome (94338083349).

The spelling of 12238000128 in words is "twelve billion, two hundred thirty-eight million, one hundred twenty-eight", and thus it is an aban number.