1012524950272 has 144 divisors (see below), whose sum is σ = 2227166928000. Its totient is φ = 455599800320.

The previous prime is 1012524950263. The next prime is 1012524950273. The reversal of 1012524950272 is 2720594252101.

It is not an unprimeable number, because it can be changed into a prime (1012524950273) 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 15 ways as a sum of consecutive naturals, for example, 114418104 + ... + 114426952.

It is an arithmetic number, because the mean of its divisors is an integer number (15466437000).

Almost surely, 2^{1012524950272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012524950272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113583464000).

1012524950272 is an abundant number, since it is smaller than the sum of its proper divisors (1214641977728).

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

1012524950272 is a wasteful number, since it uses less digits than its factorization.

1012524950272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9282 (or 9268 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 1012524950272 in words is "one trillion, twelve billion, five hundred twenty-four million, nine hundred fifty thousand, two hundred seventy-two".