221313120000 has 360 divisors, whose sum is σ = 841194431616. Its totient is φ = 50585088000.

The previous prime is 221313119971. The next prime is 221313120001. The reversal of 221313120000 is 21313122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221313120001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3327067 + ... + 3392933.

Almost surely, 2^221313120000 is an apocalyptic number.

221313120000 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 221313120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420597215808).

221313120000 is an abundant number, since it is smaller than the sum of its proper divisors (619881311616).

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

221313120000 is an frugal number, since it uses more digits than its factorization.

221313120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65913 (or 65884 counting only the distinct ones).

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

Adding to 221313120000 its reverse (21313122), we get a palindrome (221334433122).

The spelling of 221313120000 in words is "two hundred twenty-one billion, three hundred thirteen million, one hundred twenty thousand".