Search a number
-
+
12041242000 = 24536020621
BaseRepresentation
bin10110011011011011…
…01100010110010000
31011002011201110201221
423031231230112100
5144130024221000
65310501334424
7604251603544
oct131555542620
934064643657
1012041242000
115119a70377
122400707414
13119b874788
148232b5a24
154a71ba61a
hex2cdb6c590

12041242000 has 40 divisors (see below), whose sum is σ = 29115727992. Its totient is φ = 4816496000.

The previous prime is 12041241997. The next prime is 12041242007. The reversal of 12041242000 is 24214021.

12041242000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1008016 + 12040233984 = 1004^2 + 109728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (12041242007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3008311 + ... + 3012310.

Almost surely, 212041242000 is an apocalyptic number.

12041242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12041242000 is an abundant number, since it is smaller than the sum of its proper divisors (17074485992).

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

12041242000 is an equidigital number, since it uses as much as digits as its factorization.

12041242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6020644 (or 6020628 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12041242000 its reverse (24214021), we get a palindrome (12065456021).

The spelling of 12041242000 in words is "twelve billion, forty-one million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 6020621 12041242 24082484 30103105 48164968 60206210 96329936 120412420 150515525 240824840 301031050 481649680 602062100 752577625 1204124200 1505155250 2408248400 3010310500 6020621000 12041242000