130442021203872 has 384 divisors, whose sum is σ = 430877371760640. Its totient is φ = 33689967575040.

The previous prime is 130442021203861. The next prime is 130442021203891. The reversal of 130442021203872 is 278302120244031.

It is a self number, because there is not a number n which added to its sum of digits gives 130442021203872.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62246823 + ... + 64308249.

It is an arithmetic number, because the mean of its divisors is an integer number (1122076488960).

Almost surely, 2^{130442021203872} is an apocalyptic number.

130442021203872 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 130442021203872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215438685880320).

130442021203872 is an abundant number, since it is smaller than the sum of its proper divisors (300435350556768).

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

130442021203872 is a wasteful number, since it uses less digits than its factorization.

130442021203872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061684 (or 2061676 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 130442021203872 in words is "one hundred thirty trillion, four hundred forty-two billion, twenty-one million, two hundred three thousand, eight hundred seventy-two".