12213504000 has 960 divisors, whose sum is σ = 49470220800. Its totient is φ = 2985984000.

The previous prime is 12213503947. The next prime is 12213504029. The reversal of 12213504000 is 40531221.

12213504000 is a `hidden beast` number, since 1 + 2 + 213 + 50 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 393983985 + ... + 393984015.

It is an arithmetic number, because the mean of its divisors is an integer number (51531480).

Almost surely, 2^12213504000 is an apocalyptic number.

12213504000 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 12213504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24735110400).

12213504000 is an abundant number, since it is smaller than the sum of its proper divisors (37256716800).

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

12213504000 is an equidigital number, since it uses as much as digits as its factorization.

12213504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 12213504000 in words is "twelve billion, two hundred thirteen million, five hundred four thousand".