1111112400 has 120 divisors (see below), whose sum is σ = 3746669920. Its totient is φ = 280696320.

The previous prime is 1111112371. The next prime is 1111112407. The reversal of 1111112400 is 42111111.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111112407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1567 + ... + 47166.

Almost surely, 2^1111112400 is an apocalyptic number.

1111112400 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 1111112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873334960).

1111112400 is an abundant number, since it is smaller than the sum of its proper divisors (2635557520).

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

1111112400 is a wasteful number, since it uses less digits than its factorization.

1111112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48773 (or 48762 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 1111112400 is about 33333.3526666611. The cubic root of 1111112400 is about 1035.7445691389.

Adding to 1111112400 its reverse (42111111), we get a palindrome (1153223511).

The spelling of 1111112400 in words is "one billion, one hundred eleven million, one hundred twelve thousand, four hundred".