1668142123200 has 2520 divisors, whose sum is σ = 7632519916032. Its totient is φ = 356951992320.

The previous prime is 1668142123189. The next prime is 1668142123229. The reversal of 1668142123200 is 23212418661.

It is a happy number.

1668142123200 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 1 + 421 + 23 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 35492385577 + ... + 35492385623.

Almost surely, 2^{1668142123200} is an apocalyptic number.

1668142123200 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 1668142123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3816259958016).

1668142123200 is an abundant number, since it is smaller than the sum of its proper divisors (5964377792832).

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

1668142123200 is an frugal number, since it uses more digits than its factorization.

1668142123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1668142123200 in words is "one trillion, six hundred sixty-eight billion, one hundred forty-two million, one hundred twenty-three thousand, two hundred".