11301861200 has 240 divisors, whose sum is σ = 32981520000. Its totient is φ = 3635435520.

The previous prime is 11301861163. The next prime is 11301861209. The reversal of 11301861200 is 216810311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301861209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5797826 + ... + 5799774.

It is an arithmetic number, because the mean of its divisors is an integer number (137423000).

Almost surely, 2^11301861200 is an apocalyptic number.

11301861200 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 11301861200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16490760000).

11301861200 is an abundant number, since it is smaller than the sum of its proper divisors (21679658800).

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

11301861200 is a wasteful number, since it uses less digits than its factorization.

11301861200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 11301861200 in words is "eleven billion, three hundred one million, eight hundred sixty-one thousand, two hundred".