1121142400 has 96 divisors (see below), whose sum is σ = 3165288480. Its totient is φ = 384384000.

The previous prime is 1121142389. The next prime is 1121142403. The reversal of 1121142400 is 42411211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1121142403) 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 11 ways as a sum of consecutive naturals, for example, 2626 + ... + 47425.

It is an arithmetic number, because the mean of its divisors is an integer number (32971755).

Almost surely, 2^1121142400 is an apocalyptic number.

1121142400 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 1121142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582644240).

1121142400 is an abundant number, since it is smaller than the sum of its proper divisors (2044146080).

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

1121142400 is an equidigital number, since it uses as much as digits as its factorization.

1121142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50082 (or 50065 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1121142400 is about 33483.4645758171. The cubic root of 1121142400 is about 1038.8517899867.

Adding to 1121142400 its reverse (42411211), we get a palindrome (1163553611).

The spelling of 1121142400 in words is "one billion, one hundred twenty-one million, one hundred forty-two thousand, four hundred".