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12033212222331 = 336017011057853
BaseRepresentation
bin1010111100011011001101…
…0101110000101101111011
31120121100211020201210211000
42233012303111300231323
53034123004312103311
641331551551140043
72351241134155026
oct257066325605573
946540736653730
1012033212222331
11391a29065a033
12142414a514623
1369395b412751
142d85a68b41bd
1515d028a5e056
hexaf1b3570b7b

12033212222331 has 32 divisors (see below), whose sum is σ = 17882133272640. Its totient is φ = 7997361120000.

The previous prime is 12033212222327. The next prime is 12033212222359. The reversal of 12033212222331 is 13322221233021.

12033212222331 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 321 + 2 + 2 + 2 + 2 + 331 = 666.

It is not a de Polignac number, because 12033212222331 - 22 = 12033212222327 is a prime.

It is a super-2 number, since 2×120332122223312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12033212222295 and 12033212222304.

It is not an unprimeable number, because it can be changed into a prime (12033212222131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10846201 + ... + 11904053.

It is an arithmetic number, because the mean of its divisors is an integer number (558816664770).

Almost surely, 212033212222331 is an apocalyptic number.

12033212222331 is a deficient number, since it is larger than the sum of its proper divisors (5848921050309).

12033212222331 is a wasteful number, since it uses less digits than its factorization.

12033212222331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059164 (or 1059158 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12033212222331 its reverse (13322221233021), we get a palindrome (25355433455352).

The spelling of 12033212222331 in words is "twelve trillion, thirty-three billion, two hundred twelve million, two hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 601 701 1803 2103 5409 6309 16227 18927 421301 1057853 1263903 3173559 3791709 9520677 11375127 28562031 635769653 741554953 1907308959 2224664859 5721926877 6673994577 17165780631 20021983731 445674526753 1337023580259 4011070740777 12033212222331