1012135224480 has 96 divisors (see below), whose sum is σ = 3188777155200. Its totient is φ = 269856064512.

The previous prime is 1012135224389. The next prime is 1012135224481. The reversal of 1012135224480 is 844225312101.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1012135224481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2642586 + ... + 3001254.

It is an arithmetic number, because the mean of its divisors is an integer number (33216428700).

Almost surely, 2^{1012135224480} is an apocalyptic number.

1012135224480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012135224480 is an abundant number, since it is smaller than the sum of its proper divisors (2176641930720).

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

1012135224480 is a wasteful number, since it uses less digits than its factorization.

1012135224480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364566 (or 364558 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 1012135224480 in words is "one trillion, twelve billion, one hundred thirty-five million, two hundred twenty-four thousand, four hundred eighty".