230221021200000 has 384 divisors, whose sum is σ = 780619914627840. Its totient is φ = 60086039040000.

The previous prime is 230221021199977. The next prime is 230221021200011. The reversal of 230221021200000 is 2120122032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54359034 + ... + 58440966.

It is an arithmetic number, because the mean of its divisors is an integer number (2032864361010).

Almost surely, 2^{230221021200000} is an apocalyptic number.

230221021200000 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 230221021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390309957313920).

230221021200000 is an abundant number, since it is smaller than the sum of its proper divisors (550398893427840).

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

230221021200000 is an frugal number, since it uses more digits than its factorization.

230221021200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082022 (or 4081990 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 230221021200000 its reverse (2120122032), we get a palindrome (230223141322032).

The spelling of 230221021200000 in words is "two hundred thirty trillion, two hundred twenty-one billion, twenty-one million, two hundred thousand".