10012122120 has 512 divisors, whose sum is σ = 42709524480. Its totient is φ = 1807073280.

The previous prime is 10012122119. The next prime is 10012122161. The reversal of 10012122120 is 2122121001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10012122096 and 10012122105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2039589 + ... + 2044491.

It is an arithmetic number, because the mean of its divisors is an integer number (83417040).

Almost surely, 2^10012122120 is an apocalyptic number.

10012122120 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 10012122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21354762240).

10012122120 is an abundant number, since it is smaller than the sum of its proper divisors (32697402360).

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

10012122120 is a wasteful number, since it uses less digits than its factorization.

10012122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4965 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012122120 its reverse (2122121001), we get a palindrome (12134243121).

The spelling of 10012122120 in words is "ten billion, twelve million, one hundred twenty-two thousand, one hundred twenty".