11989411200 has 576 divisors, whose sum is σ = 47604036480. Its totient is φ = 2853273600.

The previous prime is 11989411193. The next prime is 11989411219. The reversal of 11989411200 is 211498911.

11989411200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11605884 + ... + 11606916.

Almost surely, 2^11989411200 is an apocalyptic number.

11989411200 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 11989411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23802018240).

11989411200 is an abundant number, since it is smaller than the sum of its proper divisors (35614625280).

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

11989411200 is a wasteful number, since it uses less digits than its factorization.

11989411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 11989411200 in words is "eleven billion, nine hundred eighty-nine million, four hundred eleven thousand, two hundred".