1200973824 has 192 divisors, whose sum is σ = 3659947200. Its totient is φ = 388841472.

The previous prime is 1200973817. The next prime is 1200973853. The reversal of 1200973824 is 4283790021.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2045659 + ... + 2046245.

It is an arithmetic number, because the mean of its divisors is an integer number (19062225).

Almost surely, 2^1200973824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829973600).

1200973824 is an abundant number, since it is smaller than the sum of its proper divisors (2458973376).

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

1200973824 is an equidigital number, since it uses as much as digits as its factorization.

1200973824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1200973824 is about 34655.0692395788. The cubic root of 1200973824 is about 1062.9459476862.

The spelling of 1200973824 in words is "one billion, two hundred million, nine hundred seventy-three thousand, eight hundred twenty-four".