1124133240144 has 160 divisors (see below), whose sum is σ = 3070013506560. Its totient is φ = 353463782400.

The previous prime is 1124133240119. The next prime is 1124133240149. The reversal of 1124133240144 is 4410423314211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124133240149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414654949 + ... + 414657659.

It is an arithmetic number, because the mean of its divisors is an integer number (19187584416).

Almost surely, 2^{1124133240144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124133240144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535006753280).

1124133240144 is an abundant number, since it is smaller than the sum of its proper divisors (1945880266416).

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

1124133240144 is a wasteful number, since it uses less digits than its factorization.

1124133240144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1124133240144 its reverse (4410423314211), we get a palindrome (5534556554355).

The spelling of 1124133240144 in words is "one trillion, one hundred twenty-four billion, one hundred thirty-three million, two hundred forty thousand, one hundred forty-four".