Search a number
-
+
12334134420 = 223252989139191
BaseRepresentation
bin10110111110010101…
…11111010010010100
31011211120211221121100
423133022333102110
5200230014300140
65355523150100
7614436261366
oct133712772224
934746757540
1012334134420
11525a32a823
122482815330
1312174543ba
14850158d36
154c2c73530
hex2df2bf494

12334134420 has 288 divisors, whose sum is σ = 39626496000. Its totient is φ = 3101091840.

The previous prime is 12334134383. The next prime is 12334134433. The reversal of 12334134420 is 2443143321.

12334134420 is a `hidden beast` number, since 1 + 233 + 4 + 1 + 3 + 4 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64576525 + ... + 64576715.

It is an arithmetic number, because the mean of its divisors is an integer number (137592000).

Almost surely, 212334134420 is an apocalyptic number.

12334134420 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 12334134420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248000).

12334134420 is an abundant number, since it is smaller than the sum of its proper divisors (27292361580).

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

12334134420 is a wasteful number, since it uses less digits than its factorization.

12334134420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12334134420 its reverse (2443143321), we get a palindrome (14777277741).

The spelling of 12334134420 in words is "twelve billion, three hundred thirty-four million, one hundred thirty-four thousand, four hundred twenty".