1123211111001 has 16 divisors (see below), whose sum is σ = 1711660038144. Its totient is φ = 641797326864.

The previous prime is 1123211110981. The next prime is 1123211111051. The reversal of 1123211111001 is 1001111123211.

It is not a de Polignac number, because 1123211111001 - 2⁷ = 1123211110873 is a prime.

It is a super-2 number, since 2×1123211111001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1123211111051) 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 15 ways as a sum of consecutive naturals, for example, 1197315 + ... + 1918328.

It is an arithmetic number, because the mean of its divisors is an integer number (106978752384).

Almost surely, 2^{1123211111001} is an apocalyptic number.

It is an amenable number.

1123211111001 is a deficient number, since it is larger than the sum of its proper divisors (588448927143).

1123211111001 is a wasteful number, since it uses less digits than its factorization.

1123211111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132820.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 1123211111001 its reverse (1001111123211), we get a palindrome (2124322234212).

The spelling of 1123211111001 in words is "one trillion, one hundred twenty-three billion, two hundred eleven million, one hundred eleven thousand, one".