1001002240512 has 1120 divisors, whose sum is σ = 3497180987520. Its totient is φ = 284576219136.

The previous prime is 1001002240481. The next prime is 1001002240549. The reversal of 1001002240512 is 2150422001001.

1001002240512 is a `hidden beast` number, since 10 + 0 + 100 + 2 + 2 + 40 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 43521836533 + ... + 43521836555.

Almost surely, 2^{1001002240512} is an apocalyptic number.

1001002240512 is a gapful number since it is divisible by the number (12) 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 1001002240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748590493760).

1001002240512 is an abundant number, since it is smaller than the sum of its proper divisors (2496178747008).

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

1001002240512 is an frugal number, since it uses more digits than its factorization.

1001002240512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 1001002240512 its reverse (2150422001001), we get a palindrome (3151424241513).

The spelling of 1001002240512 in words is "one trillion, one billion, two million, two hundred forty thousand, five hundred twelve".