1285201332032 has 224 divisors, whose sum is σ = 2812171509504. Its totient is φ = 580884480000.

The previous prime is 1285201332031. The next prime is 1285201332059. The reversal of 1285201332032 is 2302331025821.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1285201332032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285201332031) 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 31 ways as a sum of consecutive naturals, for example, 560487878 + ... + 560490170.

It is an arithmetic number, because the mean of its divisors is an integer number (12554337096).

Almost surely, 2^{1285201332032} 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 1285201332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406085754752).

1285201332032 is an abundant number, since it is smaller than the sum of its proper divisors (1526970177472).

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

1285201332032 is a wasteful number, since it uses less digits than its factorization.

1285201332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 1285201332032 its reverse (2302331025821), we get a palindrome (3587532357853).

The spelling of 1285201332032 in words is "one trillion, two hundred eighty-five billion, two hundred one million, three hundred thirty-two thousand, thirty-two".