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12211000211201 = 117793142447187
BaseRepresentation
bin1011000110110001100001…
…0101000111011100000001
31121020100201121012102020112
42301230120111013130001
53100031112023224301
641545353412521105
72400133653142061
oct261543025073401
947210647172215
1012211000211201
113988724308540
1214526a7320195
136a76529ab56c
143030309c73a1
15162981e769bb
hexb1b18547701

12211000211201 has 8 divisors (see below), whose sum is σ = 13322800599264. Its totient is φ = 11099484733120.

The previous prime is 12211000211143. The next prime is 12211000211219. The reversal of 12211000211201 is 10211200011221.

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 12211000211201 - 210 = 12211000210177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12211000211261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71137871 + ... + 71309316.

It is an arithmetic number, because the mean of its divisors is an integer number (1665350074908).

Almost surely, 212211000211201 is an apocalyptic number.

12211000211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211000211201 is a deficient number, since it is larger than the sum of its proper divisors (1111800388063).

12211000211201 is a wasteful number, since it uses less digits than its factorization.

12211000211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142454991.

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

Adding to 12211000211201 its reverse (10211200011221), we get a palindrome (22422200222422).

The spelling of 12211000211201 in words is "twelve trillion, two hundred eleven billion, two hundred eleven thousand, two hundred one".

Divisors: 1 11 7793 85723 142447187 1566919057 1110090928291 12211000211201