10121424120 has 128 divisors (see below), whose sum is σ = 34072488000. Its totient is φ = 2672294400.

The previous prime is 10121424119. The next prime is 10121424121. The reversal of 10121424120 is 2142412101.

10121424120 is a `hidden beast` number, since 1 + 0 + 121 + 424 + 120 = 666.

10121424120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10121424119) and next prime (10121424121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10121424093 and 10121424102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121424121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 62686 + ... + 155474.

Almost surely, 2^10121424120 is an apocalyptic number.

10121424120 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 10121424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17036244000).

10121424120 is an abundant number, since it is smaller than the sum of its proper divisors (23951063880).

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

10121424120 is a wasteful number, since it uses less digits than its factorization.

10121424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92910 (or 92900 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10121424120 its reverse (2142412101), we get a palindrome (12263836221).

The spelling of 10121424120 in words is "ten billion, one hundred twenty-one million, four hundred twenty-four thousand, one hundred twenty".