221440120000 has 280 divisors, whose sum is σ = 600725668752. Its totient is φ = 80294400000.

The previous prime is 221440119997. The next prime is 221440120009. The reversal of 221440120000 is 21044122.

It is a super-2 number, since 2×221440120000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (221440120009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 269719590 + ... + 269720410.

Almost surely, 2^221440120000 is an apocalyptic number.

221440120000 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 221440120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300362834376).

221440120000 is an abundant number, since it is smaller than the sum of its proper divisors (379285548752).

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

221440120000 is an equidigital number, since it uses as much as digits as its factorization.

221440120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221440120000 its reverse (21044122), we get a palindrome (221461164122).

The spelling of 221440120000 in words is "two hundred twenty-one billion, four hundred forty million, one hundred twenty thousand".