Search a number
-
+
12021424128 = 21332723293
BaseRepresentation
bin10110011001000100…
…00110000000000000
31011000210102121201200
423030202012000000
5144104441033003
65304512501200
7603621263520
oct131442060000
934023377650
1012021424128
11510986496a
1223b5b4a800
13119772621c
148207d7680
154a55a36a3
hex2cc886000

12021424128 has 168 divisors, whose sum is σ = 39689062608. Its totient is φ = 3434545152.

The previous prime is 12021424123. The next prime is 12021424133. The reversal of 12021424128 is 82142412021.

12021424128 is a `hidden beast` number, since 1 + 202 + 1 + 42 + 412 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12021424123) and next prime (12021424133).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021424123) 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, 504450 + ... + 527742.

Almost surely, 212021424128 is an apocalyptic number.

12021424128 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 12021424128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19844531304).

12021424128 is an abundant number, since it is smaller than the sum of its proper divisors (27667638480).

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

12021424128 is an equidigital number, since it uses as much as digits as its factorization.

12021424128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23332 (or 23305 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 12021424128 its reverse (82142412021), we get a palindrome (94163836149).

The spelling of 12021424128 in words is "twelve billion, twenty-one million, four hundred twenty-four thousand, one hundred twenty-eight".