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12144422024 = 237216864679
BaseRepresentation
bin10110100111101110…
…10010110010001000
31011100100212120010022
423103313102302020
5144332433001044
65325025040012
7606643612130
oct132367226210
934310776108
1012144422024
115172234019
12242b186008
1311b705c847
14832c93ac0
154b129c3ee
hex2d3dd2c88

12144422024 has 16 divisors (see below), whose sum is σ = 26023761600. Its totient is φ = 5204752272.

The previous prime is 12144422021. The next prime is 12144422029. The reversal of 12144422024 is 42022444121.

It is a happy number.

12144422024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12144421984 and 12144422002.

It is not an unprimeable number, because it can be changed into a prime (12144422021) 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 3 ways as a sum of consecutive naturals, for example, 108432284 + ... + 108432395.

It is an arithmetic number, because the mean of its divisors is an integer number (1626485100).

Almost surely, 212144422024 is an apocalyptic number.

12144422024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12144422024 is an abundant number, since it is smaller than the sum of its proper divisors (13879339576).

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

12144422024 is a wasteful number, since it uses less digits than its factorization.

12144422024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216864692 (or 216864688 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 12144422024 its reverse (42022444121), we get a palindrome (54166866145).

The spelling of 12144422024 in words is "twelve billion, one hundred forty-four million, four hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 216864679 433729358 867458716 1518052753 1734917432 3036105506 6072211012 12144422024