130122102312 has 96 divisors (see below), whose sum is σ = 363815498280. Its totient is φ = 41982935040.

The previous prime is 130122102311. The next prime is 130122102317. The reversal of 130122102312 is 213201221031.

130122102312 is a `hidden beast` number, since 130 + 1 + 221 + 0 + 2 + 312 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87394731876 + 42727370436 = 295626^2 + 206706^2 .

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

It is not an unprimeable number, because it can be changed into a prime (130122102311) 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 23 ways as a sum of consecutive naturals, for example, 387612 + ... + 640692.

Almost surely, 2^130122102312 is an apocalyptic number.

130122102312 is a gapful number since it is divisible by the number (12) 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 130122102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181907749140).

130122102312 is an abundant number, since it is smaller than the sum of its proper divisors (233693395968).

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

130122102312 is a wasteful number, since it uses less digits than its factorization.

130122102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253323 (or 253316 counting only the distinct ones).

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

Adding to 130122102312 its reverse (213201221031), we get a palindrome (343323323343).

The spelling of 130122102312 in words is "one hundred thirty billion, one hundred twenty-two million, one hundred two thousand, three hundred twelve".