Search a number
-
+
12122343000 = 2332531779231
BaseRepresentation
bin10110100101000110…
…00100011001011000
31011021211022211101200
423102203010121120
5144311304434000
65322515514200
7606255133605
oct132243043130
934254284350
1012122343000
115160823799
1224238b8960
1311b25cc031
1482dd876ac
154ae38a500
hex2d28c4658

12122343000 has 192 divisors, whose sum is σ = 43384273920. Its totient is φ = 3042432000.

The previous prime is 12122342963. The next prime is 12122343001. The reversal of 12122343000 is 34322121.

12122343000 is a `hidden beast` number, since 1 + 212 + 23 + 430 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122343001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113385 + ... + 192615.

It is an arithmetic number, because the mean of its divisors is an integer number (225959760).

Almost surely, 212122343000 is an apocalyptic number.

12122343000 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 12122343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21692136960).

12122343000 is an abundant number, since it is smaller than the sum of its proper divisors (31261930920).

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

12122343000 is a wasteful number, since it uses less digits than its factorization.

12122343000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79275 (or 79258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12122343000 its reverse (34322121), we get a palindrome (12156665121).

The spelling of 12122343000 in words is "twelve billion, one hundred twenty-two million, three hundred forty-three thousand".