122330131002030 has 384 divisors, whose sum is σ = 349101602251776. Its totient is φ = 26872820029440.

The previous prime is 122330131002029. The next prime is 122330131002041. The reversal of 122330131002030 is 30200131033221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 122330131001988 and 122330131002006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24529801197 + ... + 24529806183.

It is an arithmetic number, because the mean of its divisors is an integer number (909118755864).

Almost surely, 2^{122330131002030} is an apocalyptic number.

122330131002030 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 122330131002030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174550801125888).

122330131002030 is an abundant number, since it is smaller than the sum of its proper divisors (226771471249746).

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

122330131002030 is a wasteful number, since it uses less digits than its factorization.

122330131002030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122330131002030 its reverse (30200131033221), we get a palindrome (152530262035251).

The spelling of 122330131002030 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred thirty-one million, two thousand, thirty".