1020332301200 has 120 divisors (see below), whose sum is σ = 2553642389760. Its totient is φ = 391343270400.

The previous prime is 1020332301143. The next prime is 1020332301211. The reversal of 1020332301200 is 21032330201.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 974147 + ... + 1729053.

It is an arithmetic number, because the mean of its divisors is an integer number (21280353248).

Almost surely, 2^{1020332301200} is an apocalyptic number.

1020332301200 is a gapful number since it is divisible by the number (10) 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 1020332301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276821194880).

1020332301200 is an abundant number, since it is smaller than the sum of its proper divisors (1533310088560).

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

1020332301200 is a wasteful number, since it uses less digits than its factorization.

1020332301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755065 (or 755054 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1020332301200 its reverse (21032330201), we get a palindrome (1041364631401).

The spelling of 1020332301200 in words is "one trillion, twenty billion, three hundred thirty-two million, three hundred one thousand, two hundred".