12102202131030 has 288 divisors, whose sum is σ = 35713914163200. Its totient is φ = 2838277411200.

The previous prime is 12102202131001. The next prime is 12102202131037. The reversal of 12102202131030 is 3013120220121.

12102202131030 is a `hidden beast` number, since 121 + 0 + 2 + 202 + 1 + 310 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12102202130994 and 12102202131012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102202131037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1952279871 + ... + 1952286069.

It is an arithmetic number, because the mean of its divisors is an integer number (124006646400).

Almost surely, 2^{12102202131030} is an apocalyptic number.

12102202131030 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 12102202131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856957081600).

12102202131030 is an abundant number, since it is smaller than the sum of its proper divisors (23611712032170).

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

12102202131030 is a wasteful number, since it uses less digits than its factorization.

12102202131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12048 (or 12034 counting only the distinct ones).

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

Adding to 12102202131030 its reverse (3013120220121), we get a palindrome (15115322351151).

The spelling of 12102202131030 in words is "twelve trillion, one hundred two billion, two hundred two million, one hundred thirty-one thousand, thirty".