221120311320000 has 1120 divisors, whose sum is σ = 824650557350400. Its totient is φ = 58074559488000.

The previous prime is 221120311319989. The next prime is 221120311320011. The reversal of 221120311320000 is 23113021122.

221120311320000 is a `hidden beast` number, since 2 + 2 + 11 + 20 + 311 + 320 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (221120311319989) and next prime (221120311320011).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25279555627 + ... + 25279564373.

Almost surely, 2^{221120311320000} is an apocalyptic number.

221120311320000 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 221120311320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412325278675200).

221120311320000 is an abundant number, since it is smaller than the sum of its proper divisors (603530246030400).

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

221120311320000 is an equidigital number, since it uses as much as digits as its factorization.

221120311320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9140 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 221120311320000 its reverse (23113021122), we get a palindrome (221143424341122).

The spelling of 221120311320000 in words is "two hundred twenty-one trillion, one hundred twenty billion, three hundred eleven million, three hundred twenty thousand".