120120122010 has 128 divisors (see below), whose sum is σ = 348992976384. Its totient is φ = 25830604800.

The previous prime is 120120122009. The next prime is 120120122011. The reversal of 120120122010 is 10221021021.

It is an interprime number because it is at equal distance from previous prime (120120122009) and next prime (120120122011).

It is not an unprimeable number, because it can be changed into a prime (120120122011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11779474 + ... + 11789666.

It is an arithmetic number, because the mean of its divisors is an integer number (2726507628).

Almost surely, 2^120120122010 is an apocalyptic number.

120120122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120120122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174496488192).

120120122010 is an abundant number, since it is smaller than the sum of its proper divisors (228872854374).

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

120120122010 is a wasteful number, since it uses less digits than its factorization.

120120122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13528.

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

Adding to 120120122010 its reverse (10221021021), we get a palindrome (130341143031).

The spelling of 120120122010 in words is "one hundred twenty billion, one hundred twenty million, one hundred twenty-two thousand, ten".