102232320000 has 480 divisors, whose sum is σ = 345916771200. Its totient is φ = 26836992000.

The previous prime is 102232319993. The next prime is 102232320013. The reversal of 102232320000 is 23232201.

It is a tau number, because it is divible by the number of its divisors (480).

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 39 ways as a sum of consecutive naturals, for example, 303359832 + ... + 303360168.

It is an arithmetic number, because the mean of its divisors is an integer number (720659940).

Almost surely, 2^102232320000 is an apocalyptic number.

102232320000 is a gapful number since it is divisible by the number (10) 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 102232320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172958385600).

102232320000 is an abundant number, since it is smaller than the sum of its proper divisors (243684451200).

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

102232320000 is an frugal number, since it uses more digits than its factorization.

102232320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 102232320000 its reverse (23232201), we get a palindrome (102255552201).

The spelling of 102232320000 in words is "one hundred two billion, two hundred thirty-two million, three hundred twenty thousand".