230013212000 has 384 divisors, whose sum is σ = 668287646208. Its totient is φ = 76702464000.

The previous prime is 230013211999. The next prime is 230013212053. The reversal of 230013212000 is 212310032.

It is a happy number.

230013212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93234767 + ... + 93237233.

It is an arithmetic number, because the mean of its divisors is an integer number (1740332412).

Almost surely, 2^230013212000 is an apocalyptic number.

230013212000 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 230013212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334143823104).

230013212000 is an abundant number, since it is smaller than the sum of its proper divisors (438274434208).

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

230013212000 is a wasteful number, since it uses less digits than its factorization.

230013212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 230013212000 its reverse (212310032), we get a palindrome (230225522032).

It can be divided in two parts, 2300132 and 12000, that added together give a palindrome (2312132).

The spelling of 230013212000 in words is "two hundred thirty billion, thirteen million, two hundred twelve thousand".