122310131220 has 120 divisors (see below), whose sum is σ = 384275247048. Its totient is φ = 32566406400.

The previous prime is 122310131191. The next prime is 122310131221. The reversal of 122310131220 is 22131013221.

122310131220 is a `hidden beast` number, since 1 + 2 + 2 + 310 + 131 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27369731844 + 94940399376 = 165438^2 + 308124^2 .

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 = 122310131193 and 122310131202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122310131221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1013710 + ... + 1127930.

Almost surely, 2^122310131220 is an apocalyptic number.

122310131220 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 122310131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192137623524).

122310131220 is an abundant number, since it is smaller than the sum of its proper divisors (261965115828).

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

122310131220 is a wasteful number, since it uses less digits than its factorization.

122310131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114903 (or 114892 counting only the distinct ones).

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

Adding to 122310131220 its reverse (22131013221), we get a palindrome (144441144441).

The spelling of 122310131220 in words is "one hundred twenty-two billion, three hundred ten million, one hundred thirty-one thousand, two hundred twenty".