130312212120000 has 840 divisors, whose sum is σ = 492462788463360. Its totient is φ = 32843854080000.

The previous prime is 130312212119963. The next prime is 130312212120029. The reversal of 130312212120000 is 21212213031.

130312212120000 is a `hidden beast` number, since 1 + 30 + 312 + 2 + 121 + 200 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 2948017899 + ... + 2948062101.

Almost surely, 2^{130312212120000} is an apocalyptic number.

130312212120000 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 130312212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246231394231680).

130312212120000 is an abundant number, since it is smaller than the sum of its proper divisors (362150576343360).

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

130312212120000 is a wasteful number, since it uses less digits than its factorization.

130312212120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44691 (or 44663 counting only the distinct ones).

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

Adding to 130312212120000 its reverse (21212213031), we get a palindrome (130333424333031).

The spelling of 130312212120000 in words is "one hundred thirty trillion, three hundred twelve billion, two hundred twelve million, one hundred twenty thousand".