122010018120 has 256 divisors, whose sum is σ = 416373696000. Its totient is φ = 32168378880.

The previous prime is 122010018073. The next prime is 122010018133. The reversal of 122010018120 is 21810010221.

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 = 122010018093 and 122010018102.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7777885 + ... + 7793555.

It is an arithmetic number, because the mean of its divisors is an integer number (1626459750).

Almost surely, 2^122010018120 is an apocalyptic number.

122010018120 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 122010018120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208186848000).

122010018120 is an abundant number, since it is smaller than the sum of its proper divisors (294363677880).

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

122010018120 is an equidigital number, since it uses as much as digits as its factorization.

122010018120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15792 (or 15770 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122010018120 its reverse (21810010221), we get a palindrome (143820028341).

The spelling of 122010018120 in words is "one hundred twenty-two billion, ten million, eighteen thousand, one hundred twenty".