1111461120 has 648 divisors, whose sum is σ = 4907316960. Its totient is φ = 229662720.

The previous prime is 1111461083. The next prime is 1111461133. The reversal of 1111461120 is 211641111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1111461093 and 1111461102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6209191 + ... + 6209369.

It is an arithmetic number, because the mean of its divisors is an integer number (7573020).

Almost surely, 2^1111461120 is an apocalyptic number.

1111461120 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 1111461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453658480).

1111461120 is an abundant number, since it is smaller than the sum of its proper divisors (3795855840).

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

1111461120 is a wasteful number, since it uses less digits than its factorization.

1111461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 1111461120 is about 33338.5830532733. The cubic root of 1111461120 is about 1035.8529131333.

Subtracting from 1111461120 its reverse (211641111), we obtain a square (899820009 = 29997²).

The spelling of 1111461120 in words is "one billion, one hundred eleven million, four hundred sixty-one thousand, one hundred twenty".