120014410122 has 96 divisors (see below), whose sum is σ = 269130642768. Its totient is φ = 38622624768.

The previous prime is 120014410121. The next prime is 120014410123. The reversal of 120014410122 is 221014410021.

120014410122 is a `hidden beast` number, since 1 + 200 + 1 + 441 + 0 + 1 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (120014410121) and next prime (120014410123).

It can be written as a sum of positive squares in 8 ways, for example, as 119922997401 + 91412721 = 346299^2 + 9561^2 .

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 = 120014410095 and 120014410104.

It is not an unprimeable number, because it can be changed into a prime (120014410121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109802208 + ... + 109803300.

Almost surely, 2^120014410122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120014410122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134565321384).

120014410122 is an abundant number, since it is smaller than the sum of its proper divisors (149116232646).

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

120014410122 is a wasteful number, since it uses less digits than its factorization.

120014410122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2261 counting only the distinct ones).

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

Adding to 120014410122 its reverse (221014410021), we get a palindrome (341028820143).

The spelling of 120014410122 in words is "one hundred twenty billion, fourteen million, four hundred ten thousand, one hundred twenty-two".