221303003411420 has 192 divisors, whose sum is σ = 563943953534976. Its totient is φ = 71309952215040.

The previous prime is 221303003411389. The next prime is 221303003411447. The reversal of 221303003411420 is 24114300303122.

It is a self number, because there is not a number n which added to its sum of digits gives 221303003411420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65333792 + ... + 68637528.

It is an arithmetic number, because the mean of its divisors is an integer number (2937208091328).

Almost surely, 2^{221303003411420} is an apocalyptic number.

221303003411420 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 221303003411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281971976767488).

221303003411420 is an abundant number, since it is smaller than the sum of its proper divisors (342640950123556).

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

221303003411420 is a wasteful number, since it uses less digits than its factorization.

221303003411420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304140 (or 3304138 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 221303003411420 its reverse (24114300303122), we get a palindrome (245417303714542).

The spelling of 221303003411420 in words is "two hundred twenty-one trillion, three hundred three billion, three million, four hundred eleven thousand, four hundred twenty".