12227601600000 has 720 divisors, whose sum is σ = 44208033629760. Its totient is φ = 3253401600000.

The previous prime is 12227601599989. The next prime is 12227601600041. The reversal of 12227601600000 is 610672221.

12227601600000 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 (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10353599410 + ... + 10353600590.

It is an arithmetic number, because the mean of its divisors is an integer number (61400046708).

Almost surely, 2^{12227601600000} is an apocalyptic number.

12227601600000 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 12227601600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22104016814880).

12227601600000 is an abundant number, since it is smaller than the sum of its proper divisors (31980432029760).

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

12227601600000 is an frugal number, since it uses more digits than its factorization.

12227601600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12227601600000 in words is "twelve trillion, two hundred twenty-seven billion, six hundred one million, six hundred thousand".