1123211011100 has 72 divisors (see below), whose sum is σ = 2492660251200. Its totient is φ = 439204896000.

The previous prime is 1123211011051. The next prime is 1123211011121. The reversal of 1123211011100 is 11101123211.

It is a congruent number.

It is an unprimeable number.

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, 94046 + ... + 1501754.

Almost surely, 2^{1123211011100} is an apocalyptic number.

1123211011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123211011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246330125600).

1123211011100 is an abundant number, since it is smaller than the sum of its proper divisors (1369449240100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1123211011100 is a wasteful number, since it uses less digits than its factorization.

1123211011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407903 (or 1407896 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1123211011100 its reverse (11101123211), we get a palindrome (1134312134311).

The spelling of 1123211011100 in words is "one trillion, one hundred twenty-three billion, two hundred eleven million, eleven thousand, one hundred".