10004414121200 has 60 divisors (see below), whose sum is σ = 24041014104000. Its totient is φ = 4000865057280.

The previous prime is 10004414121187. The next prime is 10004414121209. The reversal of 10004414121200 is 212141440001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004414121209) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1033325 + ... + 4590924.

It is an arithmetic number, because the mean of its divisors is an integer number (400683568400).

Almost surely, 2^{10004414121200} is an apocalyptic number.

10004414121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004414121200 is an abundant number, since it is smaller than the sum of its proper divisors (14036599982800).

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

10004414121200 is a wasteful number, since it uses less digits than its factorization.

10004414121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628714 (or 5628703 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 10004414121200 its reverse (212141440001), we get a palindrome (10216555561201).

The spelling of 10004414121200 in words is "ten trillion, four billion, four hundred fourteen million, one hundred twenty-one thousand, two hundred".