1121818400 has 72 divisors (see below), whose sum is σ = 2802414384. Its totient is φ = 438278400.

The previous prime is 1121818391. The next prime is 1121818403. The reversal of 1121818400 is 48181211.

It is a self number, because there is not a number n which added to its sum of digits gives 1121818400.

It is not an unprimeable number, because it can be changed into a prime (1121818403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18095 + ... + 50705.

It is an arithmetic number, because the mean of its divisors is an integer number (38922422).

Almost surely, 2^1121818400 is an apocalyptic number.

1121818400 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 1121818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401207192).

1121818400 is an abundant number, since it is smaller than the sum of its proper divisors (1680595984).

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

1121818400 is a wasteful number, since it uses less digits than its factorization.

1121818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32674 (or 32661 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

The square root of 1121818400 is about 33493.5575894828. The cubic root of 1121818400 is about 1039.0605421525.

Adding to 1121818400 its reverse (48181211), we get a palindrome (1169999611).

The spelling of 1121818400 in words is "one billion, one hundred twenty-one million, eight hundred eighteen thousand, four hundred".