4111100120 has 64 divisors (see below), whose sum is σ = 9402747840. Its totient is φ = 1617408000.

The previous prime is 4111100093. The next prime is 4111100137. The reversal of 4111100120 is 210011114.

It is a super-2 number, since 2×4111100120² = 33802288393328028800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169165 + ... + 1172675.

It is an arithmetic number, because the mean of its divisors is an integer number (146917935).

Almost surely, 2^4111100120 is an apocalyptic number.

4111100120 is a gapful number since it is divisible by the number (40) 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 4111100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701373920).

4111100120 is an abundant number, since it is smaller than the sum of its proper divisors (5291647720).

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

4111100120 is a wasteful number, since it uses less digits than its factorization.

4111100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 4111100120 is about 64117.8611620818. The cubic root of 4111100120 is about 1601.9637502753.

Adding to 4111100120 its reverse (210011114), we get a palindrome (4321111234).

The spelling of 4111100120 in words is "four billion, one hundred eleven million, one hundred thousand, one hundred twenty".