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12033102001320 = 2332533425283337
BaseRepresentation
bin1010111100011010110011…
…0001010011010010101000
31120121100112120100000000100
42233012230301103102220
53034122243103020240
641331533012505400
72351235325253001
oct257065461232250
946540476300010
1012033102001320
11391a234417394
12142411961b260
1369394163090a
142d8595dc21a8
1515d01e03ae30
hexaf1acc534a8

12033102001320 has 48 divisors (see below), whose sum is σ = 39107581505460. Its totient is φ = 3208827200256.

The previous prime is 12033102001307. The next prime is 12033102001399. The reversal of 12033102001320 is 2310020133021.

12033102001320 is a `hidden beast` number, since 1 + 2 + 0 + 331 + 0 + 200 + 132 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12024818453124 + 8283548196 = 3467682^2 + 91014^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12033102001293 and 12033102001302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16712641309 + ... + 16712642028.

Almost surely, 212033102001320 is an apocalyptic number.

12033102001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12033102001320 is an abundant number, since it is smaller than the sum of its proper divisors (27074479504140).

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

12033102001320 is a wasteful number, since it uses less digits than its factorization.

12033102001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33425283354 (or 33425283347 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12033102001320 its reverse (2310020133021), we get a palindrome (14343122134341).

The spelling of 12033102001320 in words is "twelve trillion, thirty-three billion, one hundred two million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 33425283337 66850566674 100275850011 133701133348 167126416685 200551700022 267402266696 300827550033 334252833370 401103400044 501379250055 601655100066 668505666740 802206800088 1002758500110 1203310200132 1337011333480 1504137750165 2005517000220 2406620400264 3008275500330 4011034000440 6016551000660 12033102001320