1110123311121 has 48 divisors (see below), whose sum is σ = 1854517037568. Its totient is φ = 633501388800.

The previous prime is 1110123311111. The next prime is 1110123311149. The reversal of 1110123311121 is 1211133210111.

1110123311121 is a `hidden beast` number, since 1 + 110 + 123 + 311 + 121 = 666.

It is not a de Polignac number, because 1110123311121 - 2¹⁰ = 1110123310097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1110123311094 and 1110123311103.

It is not an unprimeable number, because it can be changed into a prime (1110123311111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4774576 + ... + 5001681.

It is an arithmetic number, because the mean of its divisors is an integer number (38635771616).

Almost surely, 2^{1110123311121} is an apocalyptic number.

1110123311121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1110123311121 is a deficient number, since it is larger than the sum of its proper divisors (744393726447).

1110123311121 is a wasteful number, since it uses less digits than its factorization.

1110123311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9776342 (or 9776339 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1110123311121 its reverse (1211133210111), we get a palindrome (2321256521232).

The spelling of 1110123311121 in words is "one trillion, one hundred ten billion, one hundred twenty-three million, three hundred eleven thousand, one hundred twenty-one".