1111242000 has 320 divisors, whose sum is σ = 3969388800. Its totient is φ = 265216000.

The previous prime is 1111241969. The next prime is 1111242001. The reversal of 1111242000 is 2421111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1111242001) 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 63 ways as a sum of consecutive naturals, for example, 7457926 + ... + 7458074.

It is an arithmetic number, because the mean of its divisors is an integer number (12404340).

Almost surely, 2^1111242000 is an apocalyptic number.

1111242000 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 1111242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984694400).

1111242000 is an abundant number, since it is smaller than the sum of its proper divisors (2858146800).

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

1111242000 is a wasteful number, since it uses less digits than its factorization.

1111242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1111242000 is about 33335.2966088499. The cubic root of 1111242000 is about 1035.7848372754.

Adding to 1111242000 its reverse (2421111), we get a palindrome (1113663111).

The spelling of 1111242000 in words is "one billion, one hundred eleven million, two hundred forty-two thousand".