221300031120000 has 1280 divisors, whose sum is σ = 847704423751680. Its totient is φ = 50089881600000.

The previous prime is 221300031119983. The next prime is 221300031120019. The reversal of 221300031120000 is 21130003122.

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

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, 93100558812 + ... + 93100561188.

It is an arithmetic number, because the mean of its divisors is an integer number (662269081056).

Almost surely, 2^{221300031120000} is an apocalyptic number.

221300031120000 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 221300031120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423852211875840).

221300031120000 is an abundant number, since it is smaller than the sum of its proper divisors (626404392631680).

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

221300031120000 is a wasteful number, since it uses less digits than its factorization.

221300031120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 221300031120000 its reverse (21130003122), we get a palindrome (221321161123122).

The spelling of 221300031120000 in words is "two hundred twenty-one trillion, three hundred billion, thirty-one million, one hundred twenty thousand".