10004312123334 has 112 divisors (see below), whose sum is σ = 23552320195584. Its totient is φ = 3181742953200.

The previous prime is 10004312123329. The next prime is 10004312123411. The reversal of 10004312123334 is 43332121340001.

It is a happy number.

10004312123334 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 4 + 312 + 12 + 3 + 334 = 666.

It is a super-2 number, since 2×10004312123334² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10004312123298 and 10004312123307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1650297 + ... + 4767819.

Almost surely, 2^{10004312123334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004312123334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11776160097792).

10004312123334 is an abundant number, since it is smaller than the sum of its proper divisors (13548008072250).

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

10004312123334 is an equidigital number, since it uses as much as digits as its factorization.

10004312123334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117645 (or 3117630 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10004312123334 its reverse (43332121340001), we get a palindrome (53336433463335).

The spelling of 10004312123334 in words is "ten trillion, four billion, three hundred twelve million, one hundred twenty-three thousand, three hundred thirty-four".