1021200433000 has 128 divisors (see below), whose sum is σ = 2628393805440. Its totient is φ = 371345128000.

The previous prime is 1021200432991. The next prime is 1021200433027. The reversal of 1021200433000 is 3340021201.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 947379 + ... + 1714621.

It is an arithmetic number, because the mean of its divisors is an integer number (20534326605).

Almost surely, 2^{1021200433000} is an apocalyptic number.

1021200433000 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 1021200433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314196902720).

1021200433000 is an abundant number, since it is smaller than the sum of its proper divisors (1607193372440).

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

1021200433000 is an equidigital number, since it uses as much as digits as its factorization.

1021200433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767297 (or 767261 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1021200433000 its reverse (3340021201), we get a palindrome (1024540454201).

The spelling of 1021200433000 in words is "one trillion, twenty-one billion, two hundred million, four hundred thirty-three thousand".