1007212960000 has 405 divisors, whose sum is σ = 2734599069279. Its totient is φ = 369967104000.

The previous prime is 1007212959997. The next prime is 1007212960007. The reversal of 1007212960000 is 692127001.

It is a happy number.

The square root of 1007212960000 is 1003600.

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

It can be written as a sum of positive squares in 22 ways, for example, as 345424201984 + 661788758016 = 587728^2 + 813504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007212960007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5218719904 + ... + 5218720096.

Almost surely, 2^{1007212960000} is an apocalyptic number.

1007212960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1007212960000 is the 1003600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1007212960000

1007212960000 is an abundant number, since it is smaller than the sum of its proper divisors (1727386109279).

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

1007212960000 is an frugal number, since it uses more digits than its factorization.

1007212960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 213 counting only the distinct ones).

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

The spelling of 1007212960000 in words is "one trillion, seven billion, two hundred twelve million, nine hundred sixty thousand".