221122222020000 has 720 divisors, whose sum is σ = 898483689335232. Its totient is φ = 50516213760000.

The previous prime is 221122222019957. The next prime is 221122222020017. The reversal of 221122222020000 is 20222221122.

221122222020000 is a `hidden beast` number, since 2 + 21 + 1 + 222 + 220 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2503575840 + ... + 2503664160.

Almost surely, 2^{221122222020000} is an apocalyptic number.

221122222020000 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 221122222020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449241844667616).

221122222020000 is an abundant number, since it is smaller than the sum of its proper divisors (677361467315232).

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

221122222020000 is a wasteful number, since it uses less digits than its factorization.

221122222020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90351 (or 90325 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221122222020000 its reverse (20222221122), we get a palindrome (221142444241122).

The spelling of 221122222020000 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty-two million, twenty thousand".