1121102400 has 336 divisors, whose sum is σ = 4251960000. Its totient is φ = 255590400.

The previous prime is 1121102399. The next prime is 1121102413. The reversal of 1121102400 is 42011211.

It is a happy number.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 896976 + ... + 898224.

Almost surely, 2^1121102400 is an apocalyptic number.

1121102400 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 1121102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125980000).

1121102400 is an abundant number, since it is smaller than the sum of its proper divisors (3130857600).

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

1121102400 is a wasteful number, since it uses less digits than its factorization.

1121102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1287 counting only the distinct ones).

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

The square root of 1121102400 is about 33482.8672607350. The cubic root of 1121102400 is about 1038.8394351583.

Adding to 1121102400 its reverse (42011211), we get a palindrome (1163113611).

The spelling of 1121102400 in words is "one billion, one hundred twenty-one million, one hundred two thousand, four hundred".