12221012021200 has 60 divisors (see below), whose sum is σ = 29418665527980. Its totient is φ = 4878800788480.

The previous prime is 12221012021191. The next prime is 12221012021269. The reversal of 12221012021200 is 212021012221.

It is a happy number.

12221012021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1623096384064 + 10597915637136 = 1274008^2 + 3255444^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29808709 + ... + 30215908.

It is an arithmetic number, because the mean of its divisors is an integer number (490311092133).

Almost surely, 2^{12221012021200} is an apocalyptic number.

12221012021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221012021200 is an abundant number, since it is smaller than the sum of its proper divisors (17197653506780).

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

12221012021200 is a wasteful number, since it uses less digits than its factorization.

12221012021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60025144 (or 60025133 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12221012021200 its reverse (212021012221), we get a palindrome (12433033033421).

It can be divided in two parts, 12221012021 and 200, that added together give a palindrome (12221012221).

The spelling of 12221012021200 in words is "twelve trillion, two hundred twenty-one billion, twelve million, twenty-one thousand, two hundred".