201220121200000 has 384 divisors, whose sum is σ = 572772900188160. Its totient is φ = 68972808960000.

The previous prime is 201220121199989. The next prime is 201220121200013. The reversal of 201220121200000 is 2121022102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17827594357 + ... + 17827605643.

It is an arithmetic number, because the mean of its divisors is an integer number (1491596094240).

Almost surely, 2^{201220121200000} is an apocalyptic number.

201220121200000 is a gapful number since it is divisible by the number (20) 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 201220121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286386450094080).

201220121200000 is an abundant number, since it is smaller than the sum of its proper divisors (371552778988160).

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

201220121200000 is an frugal number, since it uses more digits than its factorization.

201220121200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17700 (or 17668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201220121200000 its reverse (2121022102), we get a palindrome (201222242222102).

The spelling of 201220121200000 in words is "two hundred one trillion, two hundred twenty billion, one hundred twenty-one million, two hundred thousand".