730122412032000 has 2176 divisors, whose sum is σ = 3001643842928640. Its totient is φ = 173903708160000.

The previous prime is 730122412031921. The next prime is 730122412032007. The reversal of 730122412032000 is 230214221037.

730122412032000 is a `hidden beast` number, since 7 + 3 + 0 + 12 + 241 + 203 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (730122412032007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89137147905 + ... + 89137156095.

Almost surely, 2^{730122412032000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 730122412032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500821921464320).

730122412032000 is an abundant number, since it is smaller than the sum of its proper divisors (2271521430896640).

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

730122412032000 is an equidigital number, since it uses as much as digits as its factorization.

730122412032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 730122412032000 its reverse (230214221037), we get a palindrome (730352626253037).

The spelling of 730122412032000 in words is "seven hundred thirty trillion, one hundred twenty-two billion, four hundred twelve million, thirty-two thousand".