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12104243013200 = 2452132327739041
BaseRepresentation
bin1011000000100011110100…
…0110101110011001010000
31120212011011111200211221012
42300020331012232121100
53041303442202410300
641424340143350052
72356334266006622
oct260107506563120
946764144624835
1012104243013200
113947420695588
121435a725b2328
1369a56b288210
142dbbc4370c12
1515ecd48d4435
hexb023d1ae650

12104243013200 has 60 divisors (see below), whose sum is σ = 31317401071068. Its totient is φ = 4469258956800.

The previous prime is 12104243013197. The next prime is 12104243013263. The reversal of 12104243013200 is 231034240121.

It can be written as a sum of positive squares in 6 ways, for example, as 2142745571344 + 9961497441856 = 1463812^2 + 3156184^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1163864321 + ... + 1163874720.

Almost surely, 212104243013200 is an apocalyptic number.

12104243013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12104243013200 is an abundant number, since it is smaller than the sum of its proper divisors (19213158057868).

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

12104243013200 is a wasteful number, since it uses less digits than its factorization.

12104243013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327739072 (or 2327739061 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12104243013200 its reverse (231034240121), we get a palindrome (12335277253321).

The spelling of 12104243013200 in words is "twelve trillion, one hundred four billion, two hundred forty-three million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 2327739041 4655478082 9310956164 11638695205 18621912328 23277390410 30260607533 37243824656 46554780820 58193476025 60521215066 93109561640 116386952050 121042430132 151303037665 186219123280 232773904100 242084860264 302606075330 465547808200 484169720528 605212150660 756515188325 931095616400 1210424301320 1513030376650 2420848602640 3026060753300 6052121506600 12104243013200