122131013220 has 192 divisors, whose sum is σ = 388069678080. Its totient is φ = 31876416000.

The previous prime is 122131013201. The next prime is 122131013227. The reversal of 122131013220 is 22310131221.

122131013220 is a `hidden beast` number, since 1 + 221 + 310 + 132 + 2 + 0 = 666.

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 = 122131013193 and 122131013202.

It is not an unprimeable number, because it can be changed into a prime (122131013227) 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, 12330270 + ... + 12340170.

It is an arithmetic number, because the mean of its divisors is an integer number (2021196240).

Almost surely, 2^122131013220 is an apocalyptic number.

122131013220 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 122131013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194034839040).

122131013220 is an abundant number, since it is smaller than the sum of its proper divisors (265938664860).

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

122131013220 is a wasteful number, since it uses less digits than its factorization.

122131013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10403 (or 10395 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122131013220 its reverse (22310131221), we get a palindrome (144441144441).

The spelling of 122131013220 in words is "one hundred twenty-two billion, one hundred thirty-one million, thirteen thousand, two hundred twenty".