1111284000 has 144 divisors (see below), whose sum is σ = 3944074680. Its totient is φ = 296332800.

The previous prime is 1111283983. The next prime is 1111284007. The reversal of 1111284000 is 4821111.

It can be written as a sum of positive squares in 4 ways, for example, as 90098064 + 1021185936 = 9492^2 + 31956^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (1111284007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20566 + ... + 51434.

Almost surely, 2^1111284000 is an apocalyptic number.

1111284000 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 1111284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972037340).

1111284000 is an abundant number, since it is smaller than the sum of its proper divisors (2832790680).

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

1111284000 is a wasteful number, since it uses less digits than its factorization.

1111284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30900 (or 30879 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1111284000 is about 33335.9265657938. The cubic root of 1111284000 is about 1035.7978864628.

The spelling of 1111284000 in words is "one billion, one hundred eleven million, two hundred eighty-four thousand".