1124142042120 has 128 divisors (see below), whose sum is σ = 3485045882880. Its totient is φ = 289781856000.

The previous prime is 1124142042071. The next prime is 1124142042181. The reversal of 1124142042120 is 212402414211.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3223065 + ... + 3554775.

It is an arithmetic number, because the mean of its divisors is an integer number (27226920960).

Almost surely, 2^{1124142042120} is an apocalyptic number.

1124142042120 is a gapful number since it is divisible by the number (10) 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 1124142042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742522941440).

1124142042120 is an abundant number, since it is smaller than the sum of its proper divisors (2360903840760).

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

1124142042120 is a wasteful number, since it uses less digits than its factorization.

1124142042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332667 (or 332663 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1124142042120 its reverse (212402414211), we get a palindrome (1336544456331).

The spelling of 1124142042120 in words is "one trillion, one hundred twenty-four billion, one hundred forty-two million, forty-two thousand, one hundred twenty".