1122121111111 has 288 divisors, whose sum is σ = 1691402368320. Its totient is φ = 734469120000.

The previous prime is 1122121111091. The next prime is 1122121111147. The reversal of 1122121111111 is 1111111212211.

It is not a de Polignac number, because 1122121111111 - 2¹⁵ = 1122121078343 is a prime.

1122121111111 is a modest number, since divided by 1111111 gives 112212 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122121112111) 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 287 ways as a sum of consecutive naturals, for example, 8072813680 + ... + 8072813818.

It is an arithmetic number, because the mean of its divisors is an integer number (5872924890).

Almost surely, 2^{1122121111111} is an apocalyptic number.

1122121111111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1122121111111 is a deficient number, since it is larger than the sum of its proper divisors (569281257209).

1122121111111 is a wasteful number, since it uses less digits than its factorization.

1122121111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 349 counting only the distinct ones).

The product of its digits is 8, while the sum is 16.

Adding to 1122121111111 its reverse (1111111212211), we get a palindrome (2233232323322).

The spelling of 1122121111111 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred eleven thousand, one hundred eleven".