1122768000 has 512 divisors, whose sum is σ = 4353523200. Its totient is φ = 283852800.

The previous prime is 1122767983. The next prime is 1122768001. The reversal of 1122768000 is 8672211.

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

It is not an unprimeable number, because it can be changed into a prime (1122768001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9935944 + ... + 9936056.

It is an arithmetic number, because the mean of its divisors is an integer number (8502975).

Almost surely, 2^1122768000 is an apocalyptic number.

1122768000 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 1122768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176761600).

1122768000 is an abundant number, since it is smaller than the sum of its proper divisors (3230755200).

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

1122768000 is a wasteful number, since it uses less digits than its factorization.

1122768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1122768000 is about 33507.7304513451. The cubic root of 1122768000 is about 1039.3536417652.

The spelling of 1122768000 in words is "one billion, one hundred twenty-two million, seven hundred sixty-eight thousand".