1124142000 has 320 divisors, whose sum is σ = 3910892544. Its totient is φ = 276787200.

The previous prime is 1124141989. The next prime is 1124142007. The reversal of 1124142000 is 2414211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1124142007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10505947 + ... + 10506053.

Almost surely, 2^1124142000 is an apocalyptic number.

1124142000 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 1124142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955446272).

1124142000 is an abundant number, since it is smaller than the sum of its proper divisors (2786750544).

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

1124142000 is a wasteful number, since it uses less digits than its factorization.

1124142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1124142000 is about 33528.2269140496. The cubic root of 1124142000 is about 1039.7774425147. Note that the first 3 decimals are identical.

Adding to 1124142000 its reverse (2414211), we get a palindrome (1126556211).

The spelling of 1124142000 in words is "one billion, one hundred twenty-four million, one hundred forty-two thousand".