221323133322000 has 600 divisors, whose sum is σ = 821626697291400. Its totient is φ = 57424322995200.

The previous prime is 221323133321959. The next prime is 221323133322017. The reversal of 221323133322000 is 223331323122.

221323133322000 is a `hidden beast` number, since 2 + 2 + 1 + 323 + 1 + 3 + 332 + 2 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 81901920801024 + 139421212520976 = 9049968^2 + 11807676^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 221279026 + ... + 222276974.

It is an arithmetic number, because the mean of its divisors is an integer number (1369377828819).

Almost surely, 2^{221323133322000} is an apocalyptic number.

221323133322000 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 221323133322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410813348645700).

221323133322000 is an abundant number, since it is smaller than the sum of its proper divisors (600303563969400).

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

221323133322000 is an equidigital number, since it uses as much as digits as its factorization.

221323133322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998058 (or 997996 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 221323133322000 its reverse (223331323122), we get a palindrome (221546464645122).

The spelling of 221323133322000 in words is "two hundred twenty-one trillion, three hundred twenty-three billion, one hundred thirty-three million, three hundred twenty-two thousand".