2004531021200 has 120 divisors (see below), whose sum is σ = 4841792769120. Its totient is φ = 797508403200.

The previous prime is 2004531021169. The next prime is 2004531021221. The reversal of 2004531021200 is 21201354002.

It is a super-2 number, since 2×2004531021200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 71020691 + ... + 71048909.

It is an arithmetic number, because the mean of its divisors is an integer number (40348273076).

Almost surely, 2^{2004531021200} is an apocalyptic number.

2004531021200 is a gapful number since it is divisible by the number (20) 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 2004531021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420896384560).

2004531021200 is an abundant number, since it is smaller than the sum of its proper divisors (2837261747920).

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

2004531021200 is a wasteful number, since it uses less digits than its factorization.

2004531021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29185 (or 29174 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 2004531021200 its reverse (21201354002), we get a palindrome (2025732375202).

The spelling of 2004531021200 in words is "two trillion, four billion, five hundred thirty-one million, twenty-one thousand, two hundred".