200012340400000 has 384 divisors, whose sum is σ = 503139215779200. Its totient is φ = 79188295680000.

The previous prime is 200012340399967. The next prime is 200012340400003. The reversal of 200012340400000 is 4043210002.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200012340400003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57857198272 + ... + 57857201728.

It is an arithmetic number, because the mean of its divisors is an integer number (1310258374425).

Almost surely, 2^{200012340400000} is an apocalyptic number.

200012340400000 is a gapful number since it is divisible by the number (20) 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 200012340400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251569607889600).

200012340400000 is an abundant number, since it is smaller than the sum of its proper divisors (303126875379200).

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

200012340400000 is an equidigital number, since it uses as much as digits as its factorization.

200012340400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 200012340400000 its reverse (4043210002), we get a palindrome (200016383610002).

The spelling of 200012340400000 in words is "two hundred trillion, twelve billion, three hundred forty million, four hundred thousand".