1142224512 has 384 divisors, whose sum is σ = 3768092160. Its totient is φ = 304128000.

The previous prime is 1142224511. The next prime is 1142224529. The reversal of 1142224512 is 2154222411.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (1142224511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18724962 + ... + 18725022.

It is an arithmetic number, because the mean of its divisors is an integer number (9812740).

Almost surely, 2^1142224512 is an apocalyptic number.

1142224512 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 1142224512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884046080).

1142224512 is an abundant number, since it is smaller than the sum of its proper divisors (2625867648).

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

1142224512 is a wasteful number, since it uses less digits than its factorization.

1142224512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 1142224512 is about 33796.8121573618. The cubic root of 1142224512 is about 1045.3229657332.

Adding to 1142224512 its reverse (2154222411), we get a palindrome (3296446923).

The spelling of 1142224512 in words is "one billion, one hundred forty-two million, two hundred twenty-four thousand, five hundred twelve".