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12041111824 = 247239192
BaseRepresentation
bin10110011011011010…
…01100100100010000
31011002011110212011121
423031231030210100
5144130011034244
65310454452024
7604250522200
oct131555144420
934064425147
1012041111824
115119991595
122400664014
13119b82a451
14823280400
154a7191c84
hex2cdb4c910

12041111824 has 45 divisors (see below), whose sum is σ = 27145503927. Its totient is φ = 5159159712.

The previous prime is 12041111821. The next prime is 12041111827. The reversal of 12041111824 is 42811114021.

It is a happy number.

The square root of 12041111824 is 109732.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (12041111821) and next prime (12041111827).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12041111821) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3070537 + ... + 3074455.

Almost surely, 212041111824 is an apocalyptic number.

12041111824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12041111824 is the 109732-nd square number.

It is an amenable number.

12041111824 is an abundant number, since it is smaller than the sum of its proper divisors (15104392103).

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

12041111824 is an frugal number, since it uses more digits than its factorization.

12041111824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7860 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

Multiplying 12041111824 by its sum of digits (25), we get a square (301027795600 = 5486602).

Adding to 12041111824 its reverse (42811114021), we get a palindrome (54852225845).

The spelling of 12041111824 in words is "twelve billion, forty-one million, one hundred eleven thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 3919 7838 15676 27433 31352 54866 62704 109732 192031 219464 384062 438928 768124 1536248 3072496 15358561 30717122 61434244 107509927 122868488 215019854 245736976 430039708 752569489 860079416 1505138978 1720158832 3010277956 6020555912 12041111824