12210176000 has 256 divisors, whose sum is σ = 33369373440. Its totient is φ = 4423680000.

The previous prime is 12210175963. The next prime is 12210176039. The reversal of 12210176000 is 67101221.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45055865 + ... + 45056135.

It is an arithmetic number, because the mean of its divisors is an integer number (130349115).

Almost surely, 2^12210176000 is an apocalyptic number.

12210176000 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 12210176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684686720).

12210176000 is an abundant number, since it is smaller than the sum of its proper divisors (21159197440).

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

12210176000 is an frugal number, since it uses more digits than its factorization.

12210176000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 12210176000 its reverse (67101221), we get a palindrome (12277277221).

The spelling of 12210176000 in words is "twelve billion, two hundred ten million, one hundred seventy-six thousand".