1129005216 has 84 divisors (see below), whose sum is σ = 3332637882. Its totient is φ = 376327296.

The previous prime is 1129005193. The next prime is 1129005217. The reversal of 1129005216 is 6125009211.

It can be written as a sum of positive squares in only one way, i.e., 819104400 + 309900816 = 28620^2 + 17604^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1129005216.

It is not an unprimeable number, because it can be changed into a prime (1129005217) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 871 + ... + 47526.

Almost surely, 2^1129005216 is an apocalyptic number.

1129005216 is a gapful number since it is divisible by the number (16) 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 1129005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666318941).

1129005216 is an abundant number, since it is smaller than the sum of its proper divisors (2203632666).

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

1129005216 is an frugal number, since it uses more digits than its factorization.

1129005216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48425 (or 48402 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1129005216 is about 33600.6728504058. The cubic root of 1129005216 is about 1041.2746993253.

The spelling of 1129005216 in words is "one billion, one hundred twenty-nine million, five thousand, two hundred sixteen".