111211011120 has 320 divisors, whose sum is σ = 383284182528. Its totient is φ = 26449920000.

The previous prime is 111211011061. The next prime is 111211011181. The reversal of 111211011120 is 21110112111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111211011096 and 111211011105.

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 63 ways as a sum of consecutive naturals, for example, 30128475 + ... + 30132165.

Almost surely, 2^111211011120 is an apocalyptic number.

111211011120 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 111211011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191642091264).

111211011120 is an abundant number, since it is smaller than the sum of its proper divisors (272073171408).

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

111211011120 is a wasteful number, since it uses less digits than its factorization.

111211011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 111211011120 its reverse (21110112111), we get a palindrome (132321123231).

The spelling of 111211011120 in words is "one hundred eleven billion, two hundred eleven million, eleven thousand, one hundred twenty".