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12004411424 = 253733130631
BaseRepresentation
bin10110010111000010…
…01100100000100000
31010222121102021200112
423023201030200200
5144041112131144
65303104110452
7603323546015
oct131341144040
933877367615
1012004411424
1151001a4a85
1223b0305428
13119404a735
1481c44970c
154a3d4299e
hex2cb84c820

12004411424 has 48 divisors (see below), whose sum is σ = 24346558656. Its totient is φ = 5822150400.

The previous prime is 12004411421. The next prime is 12004411453. The reversal of 12004411424 is 42411440021.

It is a self number, because there is not a number n which added to its sum of digits gives 12004411424.

It is not an unprimeable number, because it can be changed into a prime (12004411421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376589 + ... + 407219.

It is an arithmetic number, because the mean of its divisors is an integer number (507219972).

Almost surely, 212004411424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12004411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12173279328).

12004411424 is an abundant number, since it is smaller than the sum of its proper divisors (12342147232).

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

12004411424 is a wasteful number, since it uses less digits than its factorization.

12004411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31009 (or 31001 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 12004411424 its reverse (42411440021), we get a palindrome (54415851445).

The spelling of 12004411424 in words is "twelve billion, four million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 331 592 662 1184 1324 2648 5296 10592 12247 24494 30631 48988 61262 97976 122524 195952 245048 391904 490096 980192 1133347 2266694 4533388 9066776 10138861 18133552 20277722 36267104 40555444 81110888 162221776 324443552 375137857 750275714 1500551428 3001102856 6002205712 12004411424