120212102120 has 64 divisors (see below), whose sum is σ = 295518637440. Its totient is φ = 43646444800.

The previous prime is 120212102039. The next prime is 120212102161. The reversal of 120212102120 is 21201212021.

It is a super-2 number, since 2×120212102120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120212102095 and 120212102104.

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 15 ways as a sum of consecutive naturals, for example, 78125 + ... + 496515.

It is an arithmetic number, because the mean of its divisors is an integer number (4617478710).

Almost surely, 2^120212102120 is an apocalyptic number.

120212102120 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 120212102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147759318720).

120212102120 is an abundant number, since it is smaller than the sum of its proper divisors (175306535320).

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

120212102120 is a wasteful number, since it uses less digits than its factorization.

120212102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419066 (or 419062 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120212102120 its reverse (21201212021), we get a palindrome (141413314141).

The spelling of 120212102120 in words is "one hundred twenty billion, two hundred twelve million, one hundred two thousand, one hundred twenty".