1129838112 has 96 divisors (see below), whose sum is σ = 3548885760. Its totient is φ = 347639040.

The previous prime is 1129838111. The next prime is 1129838159. The reversal of 1129838112 is 2118389211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1129838111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39064 + ... + 61527.

It is an arithmetic number, because the mean of its divisors is an integer number (36967560).

Almost surely, 2^1129838112 is an apocalyptic number.

1129838112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1129838112 is an abundant number, since it is smaller than the sum of its proper divisors (2419047648).

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

1129838112 is a wasteful number, since it uses less digits than its factorization.

1129838112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100623 (or 100609 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 1129838112 is about 33613.0646029189. The cubic root of 1129838112 is about 1041.5306947028.

The spelling of 1129838112 in words is "one billion, one hundred twenty-nine million, eight hundred thirty-eight thousand, one hundred twelve".