10004120311120 has 80 divisors (see below), whose sum is σ = 26522235749520. Its totient is φ = 3476544970752.

The previous prime is 10004120311109. The next prime is 10004120311123. The reversal of 10004120311120 is 2111302140001.

It can be written as a sum of positive squares in 8 ways, for example, as 227792380176 + 9776327930944 = 477276^2 + 3126712^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10004120311094 and 10004120311103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004120311123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282904275 + ... + 282939634.

It is an arithmetic number, because the mean of its divisors is an integer number (331527946869).

Almost surely, 2^{10004120311120} is an apocalyptic number.

10004120311120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004120311120 is an abundant number, since it is smaller than the sum of its proper divisors (16518115438400).

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

10004120311120 is a wasteful number, since it uses less digits than its factorization.

10004120311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565843952 (or 565843946 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10004120311120 its reverse (2111302140001), we get a palindrome (12115422451121).

The spelling of 10004120311120 in words is "ten trillion, four billion, one hundred twenty million, three hundred eleven thousand, one hundred twenty".