1004112001200 has 480 divisors, whose sum is σ = 4028254175232. Its totient is φ = 207706752000.

The previous prime is 1004112001187. The next prime is 1004112001223. The reversal of 1004112001200 is 21002114001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20580835 + ... + 20629565.

Almost surely, 2^{1004112001200} is an apocalyptic number.

1004112001200 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 1004112001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014127087616).

1004112001200 is an abundant number, since it is smaller than the sum of its proper divisors (3024142174032).

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

1004112001200 is a wasteful number, since it uses less digits than its factorization.

1004112001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48993 (or 48982 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1004112001200 its reverse (21002114001), we get a palindrome (1025114115201).

The spelling of 1004112001200 in words is "one trillion, four billion, one hundred twelve million, one thousand, two hundred".