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12143412431200 = 255285087178397
BaseRepresentation
bin1011000010110101101111…
…0010001100100101100000
31120222220021021212110010101
42300231123302030211200
53042424202040244300
641454335012112144
72362222036402561
oct260553362144540
946886237773111
1012143412431200
113961aa0815016
121441584305654
136a117123aa2b
142dda5c4d2168
15160d28502b6a
hexb0b5bc8c960

12143412431200 has 72 divisors (see below), whose sum is σ = 29645620183872. Its totient is φ = 4857280657920.

The previous prime is 12143412431177. The next prime is 12143412431203. The reversal of 12143412431200 is 213421434121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12143412431203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67980402 + ... + 68158798.

It is an arithmetic number, because the mean of its divisors is an integer number (411744724776).

Almost surely, 212143412431200 is an apocalyptic number.

12143412431200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12143412431200 is an abundant number, since it is smaller than the sum of its proper divisors (17502207752672).

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

12143412431200 is a wasteful number, since it uses less digits than its factorization.

12143412431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263504 (or 263491 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 12143412431200 its reverse (213421434121), we get a palindrome (12356833865321).

The spelling of 12143412431200 in words is "twelve trillion, one hundred forty-three billion, four hundred twelve million, four hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 85087 170174 178397 340348 356794 425435 680696 713588 850870 891985 1361392 1427176 1701740 1783970 2127175 2722784 2854352 3403480 3567940 4254350 4459925 5708704 6806960 7135880 8508700 8919850 13613920 14271760 17017400 17839700 28543520 34034800 35679400 68069600 71358800 142717600 15179265539 30358531078 60717062156 75896327695 121434124312 151792655390 242868248624 303585310780 379481638475 485736497248 607170621560 758963276950 1214341243120 1517926553900 2428682486240 3035853107800 6071706215600 12143412431200