1123123211001 has 16 divisors (see below), whose sum is σ = 1815148624320. Its totient is φ = 680680733760.

The previous prime is 1123123210997. The next prime is 1123123211003. The reversal of 1123123211001 is 1001123213211.

1123123211001 is a `hidden beast` number, since 11 + 231 + 2 + 321 + 100 + 1 = 666.

It is not a de Polignac number, because 1123123211001 - 2² = 1123123210997 is a prime.

It is a super-2 number, since 2×1123123211001² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1123123211003) 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 15 ways as a sum of consecutive naturals, for example, 1890779520 + ... + 1890780113.

It is an arithmetic number, because the mean of its divisors is an integer number (113446789020).

Almost surely, 2^{1123123211001} is an apocalyptic number.

1123123211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1123123211001 is a deficient number, since it is larger than the sum of its proper divisors (692025413319).

1123123211001 is a wasteful number, since it uses less digits than its factorization.

1123123211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781559653 (or 3781559647 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1123123211001 its reverse (1001123213211), we get a palindrome (2124246424212).

It can be divided in two parts, 11231 and 23211001, that added together give a palindrome (23222232).

The spelling of 1123123211001 in words is "one trillion, one hundred twenty-three billion, one hundred twenty-three million, two hundred eleven thousand, one".