11793201120 has 144 divisors (see below), whose sum is σ = 40538730960. Its totient is φ = 3121846272.

The previous prime is 11793201107. The next prime is 11793201127. The reversal of 11793201120 is 2110239711.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11793201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167391 + ... + 227169.

It is an arithmetic number, because the mean of its divisors is an integer number (281518965).

Almost surely, 2^11793201120 is an apocalyptic number.

11793201120 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 11793201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20269365480).

11793201120 is an abundant number, since it is smaller than the sum of its proper divisors (28745529840).

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

11793201120 is a wasteful number, since it uses less digits than its factorization.

11793201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59937 (or 59926 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 11793201120 in words is "eleven billion, seven hundred ninety-three million, two hundred one thousand, one hundred twenty".