1982280110112 has 480 divisors, whose sum is σ = 6206902732800. Its totient is φ = 619262848512.

The previous prime is 1982280110101. The next prime is 1982280110143. The reversal of 1982280110112 is 2110110822891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1333072633 + ... + 1333074119.

It is an arithmetic number, because the mean of its divisors is an integer number (12931047360).

Almost surely, 2^{1982280110112} is an apocalyptic number.

1982280110112 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 1982280110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103451366400).

1982280110112 is an abundant number, since it is smaller than the sum of its proper divisors (4224622622688).

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

1982280110112 is a wasteful number, since it uses less digits than its factorization.

1982280110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The spelling of 1982280110112 in words is "one trillion, nine hundred eighty-two billion, two hundred eighty million, one hundred ten thousand, one hundred twelve".