221315200000 has 528 divisors, whose sum is σ = 601779483648. Its totient is φ = 81100800000.

The previous prime is 221315199997. The next prime is 221315200027. The reversal of 221315200000 is 2513122.

221315200000 is digitally balanced in base 3, 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2281599952 + ... + 2281600048.

Almost surely, 2^221315200000 is an apocalyptic number.

221315200000 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 221315200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300889741824).

221315200000 is an abundant number, since it is smaller than the sum of its proper divisors (380464283648).

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

221315200000 is an frugal number, since it uses more digits than its factorization.

221315200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 221315200000 its reverse (2513122), we get a palindrome (221317713122).

The spelling of 221315200000 in words is "two hundred twenty-one billion, three hundred fifteen million, two hundred thousand".