1982199493120 has 480 divisors, whose sum is σ = 6116418988416. Its totient is φ = 609096499200.

The previous prime is 1982199493091. The next prime is 1982199493139. The reversal of 1982199493120 is 213949912891.

It is a super-2 number, since 2×1982199493120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97958524 + ... + 97978756.

Almost surely, 2^{1982199493120} is an apocalyptic number.

1982199493120 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 1982199493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058209494208).

1982199493120 is an abundant number, since it is smaller than the sum of its proper divisors (4134219495296).

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

1982199493120 is a wasteful number, since it uses less digits than its factorization.

1982199493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20352 (or 20329 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 58.

The spelling of 1982199493120 in words is "one trillion, nine hundred eighty-two billion, one hundred ninety-nine million, four hundred ninety-three thousand, one hundred twenty".