1000720129600 has 189 divisors, whose sum is σ = 2499269304601. Its totient is φ = 394381926400.

The previous prime is 1000720129589. The next prime is 1000720129613. The reversal of 1000720129600 is 69210270001.

It is a happy number.

The square root of 1000720129600 is 1000360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 777966336576 + 222753793024 = 882024^2 + 471968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3561281460 + ... + 3561281740.

Almost surely, 2^{1000720129600} is an apocalyptic number.

1000720129600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1000720129600 is the 1000360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000720129600

1000720129600 is an abundant number, since it is smaller than the sum of its proper divisors (1498549175001).

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

1000720129600 is an frugal number, since it uses more digits than its factorization.

1000720129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 1000720129600 its reverse (69210270001), we get a palindrome (1069930399601).

The spelling of 1000720129600 in words is "one trillion, seven hundred twenty million, one hundred twenty-nine thousand, six hundred".