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1211120000201 = 171491637292081
BaseRepresentation
bin10001100111111100011…
…000001001110011001001
311021210010000221122112202
4101213330120021303021
5124320333210001301
62324214132445545
7153333453100466
oct21477430116311
94253100848482
101211120000201
114276a6736901
121768817798b5
138a292339397
144289331466d
152178608066b
hex119fc609cc9

1211120000201 has 16 divisors (see below), whose sum is σ = 1291761853200. Its totient is φ = 1131531939840.

The previous prime is 1211120000179. The next prime is 1211120000219. The reversal of 1211120000201 is 1020000211121.

It can be written as a sum of positive squares in 8 ways, for example, as 473151379600 + 737968620601 = 687860^2 + 859051^2 .

It is a cyclic number.

It is not a de Polignac number, because 1211120000201 - 26 = 1211120000137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1211120000281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4000481 + ... + 4292561.

It is an arithmetic number, because the mean of its divisors is an integer number (80735115825).

Almost surely, 21211120000201 is an apocalyptic number.

It is an amenable number.

1211120000201 is a deficient number, since it is larger than the sum of its proper divisors (80641852999).

1211120000201 is a wasteful number, since it uses less digits than its factorization.

1211120000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293884.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1211120000201 its reverse (1020000211121), we get a palindrome (2231120211322).

The spelling of 1211120000201 in words is "one trillion, two hundred eleven billion, one hundred twenty million, two hundred one", and thus it is an aban number.

Divisors: 1 17 149 1637 2533 27829 243913 292081 4146521 4965377 43520069 478136597 739841173 8128322149 71242352953 1211120000201