1211120000001 has 24 divisors (see below), whose sum is σ = 1797022177704. Its totient is φ = 785440212480.

The previous prime is 1211119999879. The next prime is 1211120000003. The reversal of 1211120000001 is 1000000211121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 822511141776 + 388608858225 = 906924^2 + 623385^2 .

It is not a de Polignac number, because 1211120000001 - 2¹⁴ = 1211119983617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1211120000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1396681 + ... + 2091161.

It is an arithmetic number, because the mean of its divisors is an integer number (74875924071).

Almost surely, 2^{1211120000001} is an apocalyptic number.

It is an amenable number.

1211120000001 is a deficient number, since it is larger than the sum of its proper divisors (585902177703).

1211120000001 is a wasteful number, since it uses less digits than its factorization.

1211120000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699761 (or 699758 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1211120000001 its reverse (1000000211121), we get a palindrome (2211120211122).

The spelling of 1211120000001 in words is "one trillion, two hundred eleven billion, one hundred twenty million, one", and thus it is an aban number.