11720703200 has 144 divisors (see below), whose sum is σ = 29655351936. Its totient is φ = 4518758400.

The previous prime is 11720703167. The next prime is 11720703229. The reversal of 11720703200 is 230702711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7265594 + ... + 7267206.

It is an arithmetic number, because the mean of its divisors is an integer number (205939944).

Almost surely, 2^11720703200 is an apocalyptic number.

11720703200 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 11720703200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14827675968).

11720703200 is an abundant number, since it is smaller than the sum of its proper divisors (17934648736).

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

11720703200 is a wasteful number, since it uses less digits than its factorization.

11720703200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The spelling of 11720703200 in words is "eleven billion, seven hundred twenty million, seven hundred three thousand, two hundred".