130212288768 has 144 divisors (see below), whose sum is σ = 349967270016. Its totient is φ = 42978754560.

The previous prime is 130212288743. The next prime is 130212288793. The reversal of 130212288768 is 867882212031.

It is an interprime number because it is at equal distance from previous prime (130212288743) and next prime (130212288793).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36038130 + ... + 36041742.

It is an arithmetic number, because the mean of its divisors is an integer number (2430328264).

Almost surely, 2^130212288768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130212288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174983635008).

130212288768 is an abundant number, since it is smaller than the sum of its proper divisors (219754981248).

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

130212288768 is a wasteful number, since it uses less digits than its factorization.

130212288768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4066 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 130212288768 in words is "one hundred thirty billion, two hundred twelve million, two hundred eighty-eight thousand, seven hundred sixty-eight".