200012120221200 has 480 divisors, whose sum is σ = 764563717647360. Its totient is φ = 43728071116800.

The previous prime is 200012120221183. The next prime is 200012120221217. The reversal of 200012120221200 is 2122021210002.

It is an interprime number because it is at equal distance from previous prime (200012120221183) and next prime (200012120221217).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200012120221200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22228435 + ... + 29901965.

It is an arithmetic number, because the mean of its divisors is an integer number (1592841078432).

Almost surely, 2^{200012120221200} is an apocalyptic number.

200012120221200 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 200012120221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382281858823680).

200012120221200 is an abundant number, since it is smaller than the sum of its proper divisors (564551597426160).

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

200012120221200 is a wasteful number, since it uses less digits than its factorization.

200012120221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673695 (or 7673684 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200012120221200 its reverse (2122021210002), we get a palindrome (202134141431202).

The spelling of 200012120221200 in words is "two hundred trillion, twelve billion, one hundred twenty million, two hundred twenty-one thousand, two hundred".