21202213320000 has 350 divisors, whose sum is σ = 78537374915538. Its totient is φ = 5653922688000.

The previous prime is 21202213319981. The next prime is 21202213320037. The reversal of 21202213320000 is 2331220212.

21202213320000 is a `hidden beast` number, since 2 + 120 + 221 + 3 + 320 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1766177208576 + 19436036111424 = 1328976^2 + 4408632^2 .

It is a super-3 number, since 3×21202213320000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 49 ways as a sum of consecutive naturals, for example, 31947 + ... + 6511946.

Almost surely, 2^{21202213320000} is an apocalyptic number.

21202213320000 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 21202213320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39268687457769).

21202213320000 is an abundant number, since it is smaller than the sum of its proper divisors (57335161595538).

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

21202213320000 is an frugal number, since it uses more digits than its factorization.

21202213320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6543937 (or 6543903 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21202213320000 its reverse (2331220212), we get a palindrome (21204544540212).

The spelling of 21202213320000 in words is "twenty-one trillion, two hundred two billion, two hundred thirteen million, three hundred twenty thousand".