221400240000 has 320 divisors, whose sum is σ = 745008583440. Its totient is φ = 58226688000.

The previous prime is 221400239897. The next prime is 221400240011. The reversal of 221400240000 is 42004122.

221400240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17513682 + ... + 17526318.

Almost surely, 2^221400240000 is an apocalyptic number.

221400240000 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 221400240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372504291720).

221400240000 is an abundant number, since it is smaller than the sum of its proper divisors (523608343440).

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

221400240000 is an equidigital number, since it uses as much as digits as its factorization.

221400240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12747 (or 12720 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 221400240000 its reverse (42004122), we get a palindrome (221442244122).

The spelling of 221400240000 in words is "two hundred twenty-one billion, four hundred million, two hundred forty thousand".