12212176401600 has 672 divisors, whose sum is σ = 48488883179520. Its totient is φ = 2628583280640.

The previous prime is 12212176401583. The next prime is 12212176401617. The reversal of 12212176401600 is 610467121221.

It is an interprime number because it is at equal distance from previous prime (12212176401583) and next prime (12212176401617).

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106555527 + ... + 106670073.

It is an arithmetic number, because the mean of its divisors is an integer number (72156076160).

Almost surely, 2^{12212176401600} is an apocalyptic number.

12212176401600 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 12212176401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24244441589760).

12212176401600 is an abundant number, since it is smaller than the sum of its proper divisors (36276706777920).

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

12212176401600 is a wasteful number, since it uses less digits than its factorization.

12212176401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114765 (or 114750 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 12212176401600 in words is "twelve trillion, two hundred twelve billion, one hundred seventy-six million, four hundred one thousand, six hundred".