1683812229120 has 1512 divisors, whose sum is σ = 7088236734852. Its totient is φ = 368616407040.

The previous prime is 1683812229101. The next prime is 1683812229133. The reversal of 1683812229120 is 219222183861.

1683812229120 is a `hidden beast` number, since 168 + 381 + 2 + 2 + 2 + 91 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1668189229056 + 15623000064 = 1291584^2 + 124992^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17358888912 + ... + 17358889008.

Almost surely, 2^{1683812229120} is an apocalyptic number.

1683812229120 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 1683812229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3544118367426).

1683812229120 is an abundant number, since it is smaller than the sum of its proper divisors (5404424505732).

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

1683812229120 is an equidigital number, since it uses as much as digits as its factorization.

1683812229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1683812229120 in words is "one trillion, six hundred eighty-three billion, eight hundred twelve million, two hundred twenty-nine thousand, one hundred twenty".