1190112000 has 864 divisors, whose sum is σ = 5234471424. Its totient is φ = 236544000.

The previous prime is 1190111983. The next prime is 1190112037. The reversal of 1190112000 is 2110911.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51743989 + ... + 51744011.

It is an arithmetic number, because the mean of its divisors is an integer number (6058416).

Almost surely, 2^1190112000 is an apocalyptic number.

1190112000 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 1190112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617235712).

1190112000 is an abundant number, since it is smaller than the sum of its proper divisors (4044359424).

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

1190112000 is a wasteful number, since it uses less digits than its factorization.

1190112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 1190112000 is about 34497.9999420256. Note that the first 4 decimals coincide. The cubic root of 1190112000 is about 1059.7317465251.

Adding to 1190112000 its reverse (2110911), we get a palindrome (1192222911).

The spelling of 1190112000 in words is "one billion, one hundred ninety million, one hundred twelve thousand".