1612350720000 has 720 divisors, whose sum is σ = 6162141405420. Its totient is φ = 404619264000.

The previous prime is 1612350719999. The next prime is 1612350720007. The reversal of 1612350720000 is 270532161.

It is a happy number.

1612350720000 is a `hidden beast` number, since 16 + 123 + 507 + 20 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 141544498176 + 1470806221824 = 376224^2 + 1212768^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (1612350720007) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 195835884 + ... + 195844116.

Almost surely, 2^{1612350720000} is an apocalyptic number.

1612350720000 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 1612350720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081070702710).

1612350720000 is an abundant number, since it is smaller than the sum of its proper divisors (4549790685420).

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

1612350720000 is an equidigital number, since it uses as much as digits as its factorization.

1612350720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 1612350720000 in words is "one trillion, six hundred twelve billion, three hundred fifty million, seven hundred twenty thousand".