1011442124 has 72 divisors (see below), whose sum is σ = 2364505920. Its totient is φ = 373312800.

The previous prime is 1011442111. The next prime is 1011442127. The reversal of 1011442124 is 4212441101.

It is a junction number, because it is equal to n+sod(n) for n = 1011442096 and 1011442105.

It is not an unprimeable number, because it can be changed into a prime (1011442127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28619 + ... + 53309.

It is an arithmetic number, because the mean of its divisors is an integer number (32840360).

Almost surely, 2^1011442124 is an apocalyptic number.

1011442124 is a gapful number since it is divisible by the number (14) 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 1011442124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182252960).

1011442124 is an abundant number, since it is smaller than the sum of its proper divisors (1353063796).

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

1011442124 is a wasteful number, since it uses less digits than its factorization.

1011442124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24739 (or 24730 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1011442124 is about 31803.1778915252. The cubic root of 1011442124 is about 1003.7995861934.

Adding to 1011442124 its reverse (4212441101), we get a palindrome (5223883225).

The spelling of 1011442124 in words is "one billion, eleven million, four hundred forty-two thousand, one hundred twenty-four".