1201384800 has 648 divisors, whose sum is σ = 5348751408. Its totient is φ = 248371200.

The previous prime is 1201384753. The next prime is 1201384859. The reversal of 1201384800 is 84831021.

1201384800 is a `hidden beast` number, since 1 + 201 + 384 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6098302 + ... + 6098498.

It is an arithmetic number, because the mean of its divisors is an integer number (8254246).

Almost surely, 2^1201384800 is an apocalyptic number.

1201384800 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 1201384800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674375704).

1201384800 is an abundant number, since it is smaller than the sum of its proper divisors (4147366608).

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

1201384800 is a wasteful number, since it uses less digits than its factorization.

1201384800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1201384800 is about 34660.9982545223. The cubic root of 1201384800 is about 1063.0671813730.

The spelling of 1201384800 in words is "one billion, two hundred one million, three hundred eighty-four thousand, eight hundred".