1201254582528 has 1728 divisors, whose sum is σ = 4895791939584. Its totient is φ = 283668480000.

The previous prime is 1201254582509. The next prime is 1201254582529. The reversal of 1201254582528 is 8252854521021.

1201254582528 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 2 + 5 + 45 + 82 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is not an unprimeable number, because it can be changed into a prime (1201254582529) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6289290913 + ... + 6289291103.

It is an arithmetic number, because the mean of its divisors is an integer number (2833212928).

Almost surely, 2^{1201254582528} is an apocalyptic number.

1201254582528 is a gapful number since it is divisible by the number (18) 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 1201254582528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447895969792).

1201254582528 is an abundant number, since it is smaller than the sum of its proper divisors (3694537357056).

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

1201254582528 is a wasteful number, since it uses less digits than its factorization.

1201254582528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 1201254582528 in words is "one trillion, two hundred one billion, two hundred fifty-four million, five hundred eighty-two thousand, five hundred twenty-eight".