1004021200000 has 384 divisors, whose sum is σ = 3077143050240. Its totient is φ = 317744640000.

The previous prime is 1004021199971. The next prime is 1004021200093. The reversal of 1004021200000 is 21204001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1004021200000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36386209 + ... + 36413791.

It is an arithmetic number, because the mean of its divisors is an integer number (8013393360).

Almost surely, 2^{1004021200000} is an apocalyptic number.

1004021200000 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 1004021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538571525120).

1004021200000 is an abundant number, since it is smaller than the sum of its proper divisors (2073121850240).

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

1004021200000 is an frugal number, since it uses more digits than its factorization.

1004021200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27642 (or 27610 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1004021200000 its reverse (21204001), we get a palindrome (1004042404001).

It can be divided in two parts, 1004021 and 200000, that added together give a palindrome (1204021).

The spelling of 1004021200000 in words is "one trillion, four billion, twenty-one million, two hundred thousand".