11129800 has 48 divisors (see below), whose sum is σ = 28234800. Its totient is φ = 4046400.

The previous prime is 11129791. The next prime is 11129813. The reversal of 11129800 is 892111.

11129800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330 + ... + 4729.

It is an arithmetic number, because the mean of its divisors is an integer number (588225).

Almost surely, 2^11129800 is an apocalyptic number.

11129800 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 11129800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14117400).

11129800 is an abundant number, since it is smaller than the sum of its proper divisors (17105000).

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

11129800 is a wasteful number, since it uses less digits than its factorization.

11129800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 11129800 is about 3336.1354888553. The cubic root of 11129800 is about 223.2693561950.

The spelling of 11129800 in words is "eleven million, one hundred twenty-nine thousand, eight hundred".