1124134113312 has 288 divisors, whose sum is σ = 3773549445120. Its totient is φ = 310634196480.

The previous prime is 1124134113299. The next prime is 1124134113337. The reversal of 1124134113312 is 2133114314211.

1124134113312 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 1 + 341 + 1 + 3 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128924889 + ... + 128933607.

It is an arithmetic number, because the mean of its divisors is an integer number (13102602240).

Almost surely, 2^{1124134113312} is an apocalyptic number.

1124134113312 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 1124134113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886774722560).

1124134113312 is an abundant number, since it is smaller than the sum of its proper divisors (2649415331808).

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

1124134113312 is a wasteful number, since it uses less digits than its factorization.

1124134113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836 (or 10825 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1124134113312 its reverse (2133114314211), we get a palindrome (3257248427523).

The spelling of 1124134113312 in words is "one trillion, one hundred twenty-four billion, one hundred thirty-four million, one hundred thirteen thousand, three hundred twelve".