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12144402300 = 2235283487727
BaseRepresentation
bin10110100111101110…
…01101111101111100
31011100100211120001210
423103313031331330
5144332431333200
65325024404420
7606643500462
oct132367157574
934310746053
1012144402300
115172220218
12242b176710
1311b7053884
14832c8a832
154b1296650
hex2d3dcdf7c

12144402300 has 72 divisors (see below), whose sum is σ = 35561223936. Its totient is φ = 3199482560.

The previous prime is 12144402289. The next prime is 12144402301. The reversal of 12144402300 is 320444121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144402301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218964 + ... + 268763.

It is an arithmetic number, because the mean of its divisors is an integer number (493905888).

Almost surely, 212144402300 is an apocalyptic number.

12144402300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144402300 is an abundant number, since it is smaller than the sum of its proper divisors (23416821636).

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

12144402300 is a wasteful number, since it uses less digits than its factorization.

12144402300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487827 (or 487820 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12144402300 its reverse (320444121), we get a palindrome (12464846421).

The spelling of 12144402300 in words is "twelve billion, one hundred forty-four million, four hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 83 100 150 166 249 300 332 415 498 830 996 1245 1660 2075 2490 4150 4980 6225 8300 12450 24900 487727 975454 1463181 1950908 2438635 2926362 4877270 5852724 7315905 9754540 12193175 14631810 24386350 29263620 36579525 40481341 48772700 73159050 80962682 121444023 146318100 161925364 202406705 242888046 404813410 485776092 607220115 809626820 1012033525 1214440230 2024067050 2428880460 3036100575 4048134100 6072201150 12144402300