Search a number
-
+
12004112034 = 23659139547
BaseRepresentation
bin10110010111000000…
…00011011010100010
31010222120212002000000
423023200003122202
5144041023041114
65303053440430
7603321161115
oct131340033242
933876762000
1012004112034
115100010052
1223b01a0116
131193c74395
1481c3ac57c
154a3cd3e09
hex2cb8036a2

12004112034 has 56 divisors (see below), whose sum is σ = 27454673520. Its totient is φ = 3933522648.

The previous prime is 12004112027. The next prime is 12004112039. The reversal of 12004112034 is 43021140021.

12004112034 is a `hidden beast` number, since 1 + 200 + 411 + 20 + 34 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12004111998 and 12004112016.

It is not an unprimeable number, because it can be changed into a prime (12004112039) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16249 + ... + 155795.

Almost surely, 212004112034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12004112034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13727336760).

12004112034 is an abundant number, since it is smaller than the sum of its proper divisors (15450561486).

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

12004112034 is an equidigital number, since it uses as much as digits as its factorization.

12004112034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139626 (or 139611 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12004112034 its reverse (43021140021), we get a palindrome (55025252055).

The spelling of 12004112034 in words is "twelve billion, four million, one hundred twelve thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 243 354 486 531 729 1062 1458 1593 3186 4779 9558 14337 28674 43011 86022 139547 279094 418641 837282 1255923 2511846 3767769 7535538 8233273 11303307 16466546 22606614 24699819 33909921 49399638 67819842 74099457 101729763 148198914 203459526 222298371 444596742 666895113 1333790226 2000685339 4001370678 6002056017 12004112034