1680120228192 has 384 divisors, whose sum is σ = 5283694209024. Its totient is φ = 457428860928.

The previous prime is 1680120228181. The next prime is 1680120228209. The reversal of 1680120228192 is 2918220210861.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 1295388888 + ... + 1295390184.

It is an arithmetic number, because the mean of its divisors is an integer number (13759620336).

Almost surely, 2^{1680120228192} is an apocalyptic number.

1680120228192 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 1680120228192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641847104512).

1680120228192 is an abundant number, since it is smaller than the sum of its proper divisors (3603573980832).

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

1680120228192 is a wasteful number, since it uses less digits than its factorization.

1680120228192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 1680120228192 in words is "one trillion, six hundred eighty billion, one hundred twenty million, two hundred twenty-eight thousand, one hundred ninety-two".