10004414121220 has 24 divisors (see below), whose sum is σ = 21009495720024. Its totient is φ = 4001722588416.

The previous prime is 10004414121209. The next prime is 10004414121281. The reversal of 10004414121220 is 2212141440001.

It can be written as a sum of positive squares in 4 ways, for example, as 1529060848704 + 8475353272516 = 1236552^2 + 2911246^2 .

It is a super-2 number, since 2×10004414121220² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10004414121191 and 10004414121200.

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 7 ways as a sum of consecutive naturals, for example, 752017 + ... + 4535896.

It is an arithmetic number, because the mean of its divisors is an integer number (875395655001).

Almost surely, 2^{10004414121220} is an apocalyptic number.

10004414121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004414121220 is an abundant number, since it is smaller than the sum of its proper divisors (11005081598804).

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

10004414121220 is a wasteful number, since it uses less digits than its factorization.

10004414121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5382519 (or 5382517 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10004414121220 its reverse (2212141440001), we get a palindrome (12216555561221).

The spelling of 10004414121220 in words is "ten trillion, four billion, four hundred fourteen million, one hundred twenty-one thousand, two hundred twenty".