1129198600 has 48 divisors (see below), whose sum is σ = 2632867200. Its totient is φ = 450392640.

The previous prime is 1129198573. The next prime is 1129198601. The reversal of 1129198600 is 68919211.

It is a self number, because there is not a number n which added to its sum of digits gives 1129198600.

It is not an unprimeable number, because it can be changed into a prime (1129198601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63937 + ... + 79663.

It is an arithmetic number, because the mean of its divisors is an integer number (54851400).

Almost surely, 2^1129198600 is an apocalyptic number.

1129198600 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 1129198600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316433600).

1129198600 is an abundant number, since it is smaller than the sum of its proper divisors (1503668600).

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

1129198600 is a wasteful number, since it uses less digits than its factorization.

1129198600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16102 (or 16093 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 37.

The square root of 1129198600 is about 33603.5504076578. The cubic root of 1129198600 is about 1041.3341482300.

The spelling of 1129198600 in words is "one billion, one hundred twenty-nine million, one hundred ninety-eight thousand, six hundred".