1113002400 has 144 divisors (see below), whose sum is σ = 3711512448. Its totient is φ = 289536000.

The previous prime is 1113002389. The next prime is 1113002477. The reversal of 1113002400 is 42003111.

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 23 ways as a sum of consecutive naturals, for example, 92745 + ... + 104055.

It is an arithmetic number, because the mean of its divisors is an integer number (25774392).

Almost surely, 2^1113002400 is an apocalyptic number.

1113002400 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 1113002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855756224).

1113002400 is an abundant number, since it is smaller than the sum of its proper divisors (2598510048).

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

1113002400 is a wasteful number, since it uses less digits than its factorization.

1113002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11375 (or 11362 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1113002400 is about 33361.6906046441. The cubic root of 1113002400 is about 1036.3315029629.

Adding to 1113002400 its reverse (42003111), we get a palindrome (1155005511).

The spelling of 1113002400 in words is "one billion, one hundred thirteen million, two thousand, four hundred".