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12001211122001 = 151410811934671
BaseRepresentation
bin1010111010100011111111…
…1011010000000101010001
31120111022020001000110211212
42232220333323100011101
53033111440021401001
641305140312345505
72346026125252313
oct256507773200521
946438201013755
1012001211122001
113907759897782
121419ab93a5295
1369092b5a951a
142d6c0c7a57b3
1515c2a44067bb
hexaea3fed0151

12001211122001 has 8 divisors (see below), whose sum is σ = 12080989655808. Its totient is φ = 11921436540000.

The previous prime is 12001211121979. The next prime is 12001211122007. The reversal of 12001211122001 is 10022111210021.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12001211122001 - 230 = 12000137380177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12001211122007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5235896 + ... + 7170566.

It is an arithmetic number, because the mean of its divisors is an integer number (1510123706976).

Almost surely, 212001211122001 is an apocalyptic number.

It is an amenable number.

12001211122001 is a deficient number, since it is larger than the sum of its proper divisors (79778533807).

12001211122001 is a wasteful number, since it uses less digits than its factorization.

12001211122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975903.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12001211122001 its reverse (10022111210021), we get a palindrome (22023322332022).

The spelling of 12001211122001 in words is "twelve trillion, one billion, two hundred eleven million, one hundred twenty-two thousand, one".

Divisors: 1 151 41081 1934671 6203231 292135321 79478219351 12001211122001