1204923328000 has 640 divisors, whose sum is σ = 3539023488000. Its totient is φ = 408984576000.

The previous prime is 1204923327967. The next prime is 1204923328001. The reversal of 1204923328000 is 8233294021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1204923328001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2875711791 + ... + 2875712209.

It is an arithmetic number, because the mean of its divisors is an integer number (5529724200).

Almost surely, 2^{1204923328000} is an apocalyptic number.

1204923328000 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 1204923328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769511744000).

1204923328000 is an abundant number, since it is smaller than the sum of its proper divisors (2334100160000).

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

1204923328000 is an frugal number, since it uses more digits than its factorization.

1204923328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 1204923328000 in words is "one trillion, two hundred four billion, nine hundred twenty-three million, three hundred twenty-eight thousand".