1119196800 has 144 divisors (see below), whose sum is σ = 3993653430. Its totient is φ = 298444800.

The previous prime is 1119196787. The next prime is 1119196801. The reversal of 1119196800 is 86919111.

It can be written as a sum of positive squares in 3 ways, for example, as 1008189504 + 111007296 = 31752^2 + 10536^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1119196801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9370 + ... + 48230.

Almost surely, 2^1119196800 is an apocalyptic number.

1119196800 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 1119196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996826715).

1119196800 is an abundant number, since it is smaller than the sum of its proper divisors (2874456630).

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

1119196800 is a wasteful number, since it uses less digits than its factorization.

1119196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38891 (or 38871 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The square root of 1119196800 is about 33454.3988139079. The cubic root of 1119196800 is about 1038.2505103324.

The spelling of 1119196800 in words is "one billion, one hundred nineteen million, one hundred ninety-six thousand, eight hundred".