1100289120 has 384 divisors, whose sum is σ = 4165862400. Its totient is φ = 243855360.

The previous prime is 1100289119. The next prime is 1100289137. The reversal of 1100289120 is 219820011.

It is a super-2 number, since 2×1100289120² = 2421272295180748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6750159 + ... + 6750321.

It is an arithmetic number, because the mean of its divisors is an integer number (10848600).

Almost surely, 2^1100289120 is an apocalyptic number.

1100289120 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 1100289120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082931200).

1100289120 is an abundant number, since it is smaller than the sum of its proper divisors (3065573280).

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

1100289120 is a wasteful number, since it uses less digits than its factorization.

1100289120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 1100289120 is about 33170.6062651860. The cubic root of 1100289120 is about 1032.3705477845.

The spelling of 1100289120 in words is "one billion, one hundred million, two hundred eighty-nine thousand, one hundred twenty".