122131020 has 96 divisors (see below), whose sum is σ = 375250176. Its totient is φ = 29433600.

The previous prime is 122131019. The next prime is 122131021. The reversal of 122131020 is 20131221.

It is an interprime number because it is at equal distance from previous prime (122131019) and next prime (122131021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 122130987 and 122131005.

It is not an unprimeable number, because it can be changed into a prime (122131021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138822 + ... + 139698.

It is an arithmetic number, because the mean of its divisors is an integer number (3908856).

Almost surely, 2^122131020 is an apocalyptic number.

122131020 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 122131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187625088).

122131020 is an abundant number, since it is smaller than the sum of its proper divisors (253119156).

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

122131020 is a wasteful number, since it uses less digits than its factorization.

122131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 122131020 is about 11051.2904223896. The cubic root of 122131020 is about 496.1450484126.

Adding to 122131020 its reverse (20131221), we get a palindrome (142262241).

The spelling of 122131020 in words is "one hundred twenty-two million, one hundred thirty-one thousand, twenty".