1124417112 has 320 divisors, whose sum is σ = 3764544000. Its totient is φ = 277385472.

The previous prime is 1124417083. The next prime is 1124417117. The reversal of 1124417112 is 2117144211.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124417117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14233089 + ... + 14233167.

It is an arithmetic number, because the mean of its divisors is an integer number (11764200).

Almost surely, 2^1124417112 is an apocalyptic number.

1124417112 is a gapful number since it is divisible by the number (12) 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 1124417112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882272000).

1124417112 is an abundant number, since it is smaller than the sum of its proper divisors (2640126888).

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

1124417112 is a wasteful number, since it uses less digits than its factorization.

1124417112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its digits is 448, while the sum is 24.

The square root of 1124417112 is about 33532.3293554146. The cubic root of 1124417112 is about 1039.8622573985.

The spelling of 1124417112 in words is "one billion, one hundred twenty-four million, four hundred seventeen thousand, one hundred twelve".