Search a number
-
+
12004051152 = 24317105113997
BaseRepresentation
bin10110010110111111…
…10100100011010000
31010222120201222111010
423023133310203100
5144041014114102
65303052250520
7603320515452
oct131337644320
933876658433
1012004051152
1150aaa79335
1223b0170a40
131193c52762
1481c3942d2
154a3cc0d6c
hex2cb7f48d0

12004051152 has 80 divisors (see below), whose sum is σ = 32868199872. Its totient is φ = 3762124800.

The previous prime is 12004051151. The next prime is 12004051159. The reversal of 12004051152 is 25115040021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004051151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850618 + ... + 864614.

Almost surely, 212004051152 is an apocalyptic number.

12004051152 is a gapful number since it is divisible by the number (12) 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 12004051152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16434099936).

12004051152 is an abundant number, since it is smaller than the sum of its proper divisors (20864148720).

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

12004051152 is a wasteful number, since it uses less digits than its factorization.

12004051152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15076 (or 15070 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 12004051152 its reverse (25115040021), we get a palindrome (37119091173).

The spelling of 12004051152 in words is "twelve billion, four million, fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1051 2102 3153 4204 6306 8408 12612 13997 16816 17867 25224 27994 35734 41991 50448 53601 55988 71468 83982 107202 111976 142936 167964 214404 223952 237949 285872 335928 428808 475898 671856 713847 857616 951796 1427694 1903592 2855388 3807184 5710776 11421552 14710847 29421694 44132541 58843388 88265082 117686776 176530164 235373552 250084399 353060328 500168798 706120656 750253197 1000337596 1500506394 2000675192 3001012788 4001350384 6002025576 12004051152