10046123120 has 80 divisors (see below), whose sum is σ = 25562729952. Its totient is φ = 3641364480.

The previous prime is 10046123119. The next prime is 10046123141. The reversal of 10046123120 is 2132164001.

10046123120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 10046123092 and 10046123101.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 257204 + ... + 293676.

Almost surely, 2^10046123120 is an apocalyptic number.

10046123120 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 10046123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12781364976).

10046123120 is an abundant number, since it is smaller than the sum of its proper divisors (15516606832).

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

10046123120 is a wasteful number, since it uses less digits than its factorization.

10046123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36810 (or 36804 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10046123120 its reverse (2132164001), we get a palindrome (12178287121).

The spelling of 10046123120 in words is "ten billion, forty-six million, one hundred twenty-three thousand, one hundred twenty".