221312420000000 has 432 divisors, whose sum is σ = 642356794038960. Its totient is φ = 75878208000000.

The previous prime is 221312419999991. The next prime is 221312420000039. The reversal of 221312420000000 is 24213122.

It can be written as a sum of positive squares in 8 ways, for example, as 200503787524096 + 20808632475904 = 14159936^2 + 4561648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979887086 + ... + 980112914.

Almost surely, 2^{221312420000000} is an apocalyptic number.

221312420000000 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 221312420000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321178397019480).

221312420000000 is an abundant number, since it is smaller than the sum of its proper divisors (421044374038960).

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

221312420000000 is an frugal number, since it uses more digits than its factorization.

221312420000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225894 (or 225843 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 221312420000000 its reverse (24213122), we get a palindrome (221312444213122).

The spelling of 221312420000000 in words is "two hundred twenty-one trillion, three hundred twelve billion, four hundred twenty million", and thus it is an aban number.