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12033111322001 = 731119316524709
BaseRepresentation
bin1010111100011010110101…
…0100110110110110010001
31120121100120012212112120202
42233012231110312312101
53034122302444301001
641331533544344545
72351235500423000
oct257065524666621
946540505775522
1012033111322001
11391a239703130
121424120775155
13693943545203
142d859732ac37
1515d01ec7c96b
hexaf1ad536d91

12033111322001 has 32 divisors (see below), whose sum is σ = 15387809952000. Its totient is φ = 9327867171840.

The previous prime is 12033111321997. The next prime is 12033111322021. The reversal of 12033111322001 is 10022311133021.

It is a happy number.

It is not a de Polignac number, because 12033111322001 - 22 = 12033111321997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12033111322021) 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, 7534166 + ... + 8990543.

It is an arithmetic number, because the mean of its divisors is an integer number (480869061000).

Almost surely, 212033111322001 is an apocalyptic number.

12033111322001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12033111322001 is a deficient number, since it is larger than the sum of its proper divisors (3354698629999).

12033111322001 is a wasteful number, since it uses less digits than its factorization.

12033111322001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16524934 (or 16524920 counting only the distinct ones).

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

Adding to 12033111322001 its reverse (10022311133021), we get a palindrome (22055422455022).

The spelling of 12033111322001 in words is "twelve trillion, thirty-three billion, one hundred eleven million, three hundred twenty-two thousand, one".

Divisors: 1 7 11 49 77 193 343 539 1351 2123 3773 9457 14861 66199 104027 728189 16524709 115672963 181771799 809710741 1272402593 3189268837 5667975187 8906818151 22324881859 35081957207 62347727057 156274173013 245573700449 1093919211091 1719015903143 12033111322001