1112745600 has 432 divisors, whose sum is σ = 4200827670. Its totient is φ = 291133440.

The previous prime is 1112745593. The next prime is 1112745611. The reversal of 1112745600 is 65472111.

It is a happy number.

1112745600 is a `hidden beast` number, since 1 + 1 + 12 + 7 + 45 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 927567936 + 185177664 = 30456^2 + 13608^2 .

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20995174 + ... + 20995226.

Almost surely, 2^1112745600 is an apocalyptic number.

1112745600 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 1112745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100413835).

1112745600 is an abundant number, since it is smaller than the sum of its proper divisors (3088082070).

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

1112745600 is an frugal number, since it uses more digits than its factorization.

1112745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1112745600 is about 33357.8416567979. The cubic root of 1112745600 is about 1036.2517935211.

The spelling of 1112745600 in words is "one billion, one hundred twelve million, seven hundred forty-five thousand, six hundred".