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12032121131300 = 2252128993344617
BaseRepresentation
bin1010111100010111001001…
…0011100101000100100100
31120121021000012122122022002
42233011302103211010210
53034113241002200200
641331251413224432
72351202115065434
oct257056223450444
946537005578262
1012032121131300
11391988077a206
121423aa5032118
13693816360b5a
142d8501a142c4
1515ceb2d87bd5
hexaf1724e5124

12032121131300 has 36 divisors (see below), whose sum is σ = 26129958916740. Its totient is φ = 4809114616320.

The previous prime is 12032121131287. The next prime is 12032121131309. The reversal of 12032121131300 is 313112123021.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 129676331236 + 11902444800064 = 360106^2 + 3449992^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12032121131309) 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, 46543409 + ... + 46801208.

Almost surely, 212032121131300 is an apocalyptic number.

12032121131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12032121131300 is an abundant number, since it is smaller than the sum of its proper divisors (14097837785440).

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

12032121131300 is a wasteful number, since it uses less digits than its factorization.

12032121131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93345920 (or 93345913 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12032121131300 its reverse (313112123021), we get a palindrome (12345233254321).

The spelling of 12032121131300 in words is "twelve trillion, thirty-two billion, one hundred twenty-one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1289 2578 5156 6445 12890 25780 32225 64450 128900 93344617 186689234 373378468 466723085 933446170 1866892340 2333615425 4667230850 9334461700 120321211313 240642422626 481284845252 601606056565 1203212113130 2406424226260 3008030282825 6016060565650 12032121131300