1112032800 has 270 divisors, whose sum is σ = 4086560709. Its totient is φ = 294278400.

The previous prime is 1112032799. The next prime is 1112032807. The reversal of 1112032800 is 82302111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1089792144 + 22240656 = 33012^2 + 4716^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=23580.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1112032807) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8488735 + ... + 8488865.

Almost surely, 2^1112032800 is an apocalyptic number.

1112032800 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 1112032800

1112032800 is an abundant number, since it is smaller than the sum of its proper divisors (2974527909).

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

1112032800 is an equidigital number, since it uses as much as digits as its factorization.

1112032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1112032800 is about 33347.1558007576. The cubic root of 1112032800 is about 1036.0304796666.

Multiplying 1112032800 by its sum of digits (18), we get a square (20016590400 = 141480²).

1112032800 divided by its sum of digits (18) gives a square (61779600 = 7860²).

Adding to 1112032800 its reverse (82302111), we get a palindrome (1194334911).

It can be divided in two parts, 111203 and 2800, that added together give a triangular number (114003 = T₄₇₇).

The spelling of 1112032800 in words is "one billion, one hundred twelve million, thirty-two thousand, eight hundred".