11934412800 has 312 divisors, whose sum is σ = 40257651024. Its totient is φ = 3118202880.

The previous prime is 11934412793. The next prime is 11934412817. The reversal of 11934412800 is 821443911.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16281234 + ... + 16281966.

Almost surely, 2^11934412800 is an apocalyptic number.

11934412800 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 11934412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20128825512).

11934412800 is an abundant number, since it is smaller than the sum of its proper divisors (28323238224).

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

11934412800 is an equidigital number, since it uses as much as digits as its factorization.

11934412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 11934412800 in words is "eleven billion, nine hundred thirty-four million, four hundred twelve thousand, eight hundred".