120000200002000 has 160 divisors (see below), whose sum is σ = 294825517459200. Its totient is φ = 47231019584000.

The previous prime is 120000200001953. The next prime is 120000200002009. The reversal of 120000200002000 is 200002000021.

It is a happy number.

120000200002000 is a modest number, since divided by 200002000 gives 12000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120000200002009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71447871 + ... + 73108129.

It is an arithmetic number, because the mean of its divisors is an integer number (1842659484120).

Almost surely, 2^{120000200002000} is an apocalyptic number.

120000200002000 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 120000200002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147412758729600).

120000200002000 is an abundant number, since it is smaller than the sum of its proper divisors (174825317457200).

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

120000200002000 is a wasteful number, since it uses less digits than its factorization.

120000200002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660862 (or 1660846 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 120000200002000 its reverse (200002000021), we get a palindrome (120200202002021).

The spelling of 120000200002000 in words is "one hundred twenty trillion, two hundred million, two thousand".