1142124320 has 96 divisors (see below), whose sum is σ = 2797079040. Its totient is φ = 440248320.

The previous prime is 1142124307. The next prime is 1142124337. The reversal of 1142124320 is 234212411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1142124292 and 1142124301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2028359 + ... + 2028921.

It is an arithmetic number, because the mean of its divisors is an integer number (29136240).

Almost surely, 2^1142124320 is an apocalyptic number.

1142124320 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 1142124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398539520).

1142124320 is an abundant number, since it is smaller than the sum of its proper divisors (1654954720).

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

1142124320 is a wasteful number, since it uses less digits than its factorization.

1142124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1142124320 is about 33795.3298548779. The cubic root of 1142124320 is about 1045.2924007961.

Adding to 1142124320 its reverse (234212411), we get a palindrome (1376336731).

The spelling of 1142124320 in words is "one billion, one hundred forty-two million, one hundred twenty-four thousand, three hundred twenty".