1004412100000 has 144 divisors (see below), whose sum is σ = 2556873459000. Its totient is φ = 387909760000.

The previous prime is 1004412099989. The next prime is 1004412100007. The reversal of 1004412100000 is 12144001.

1004412100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 388582676496 + 615829423504 = 623364^2 + 784748^2 .

It is not an unprimeable number, because it can be changed into a prime (1004412100007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2726826 + ... + 3073174.

Almost surely, 2^{1004412100000} is an apocalyptic number.

1004412100000 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 1004412100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278436729500).

1004412100000 is an abundant number, since it is smaller than the sum of its proper divisors (1552461359000).

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

1004412100000 is an frugal number, since it uses more digits than its factorization.

1004412100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346413 (or 346385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1004412100000 its reverse (12144001), we get a palindrome (1004424244001).

The spelling of 1004412100000 in words is "one trillion, four billion, four hundred twelve million, one hundred thousand".