1121314400 has 144 divisors (see below), whose sum is σ = 2882628000. Its totient is φ = 425103360.

The previous prime is 1121314399. The next prime is 1121314409. The reversal of 1121314400 is 44131211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121314409) 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, 2741396 + ... + 2741804.

It is an arithmetic number, because the mean of its divisors is an integer number (20018250).

Almost surely, 2^1121314400 is an apocalyptic number.

1121314400 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 1121314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441314000).

1121314400 is an abundant number, since it is smaller than the sum of its proper divisors (1761313600).

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

1121314400 is a wasteful number, since it uses less digits than its factorization.

1121314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1121314400 is about 33486.0329092593. The cubic root of 1121314400 is about 1038.9049124004.

Adding to 1121314400 its reverse (44131211), we get a palindrome (1165445611).

The spelling of 1121314400 in words is "one billion, one hundred twenty-one million, three hundred fourteen thousand, four hundred".