202212221200000 has 768 divisors, whose sum is σ = 557439902812800. Its totient is φ = 72449280000000.

The previous prime is 202212221199983. The next prime is 202212221200061. The reversal of 202212221200000 is 2122212202.

202212221200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 101767599007 + ... + 101767600993.

Almost surely, 2^{202212221200000} is an apocalyptic number.

202212221200000 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 202212221200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278719951406400).

202212221200000 is an abundant number, since it is smaller than the sum of its proper divisors (355227681612800).

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

202212221200000 is a wasteful number, since it uses less digits than its factorization.

202212221200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202212221200000 its reverse (2122212202), we get a palindrome (202214343412202).

The spelling of 202212221200000 in words is "two hundred two trillion, two hundred twelve billion, two hundred twenty-one million, two hundred thousand".