200210012000 has 96 divisors (see below), whose sum is σ = 492067203264. Its totient is φ = 80059392000.

The previous prime is 200210011997. The next prime is 200210012017. The reversal of 200210012000 is 210012002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18686645 + ... + 18697355.

It is an arithmetic number, because the mean of its divisors is an integer number (5125700034).

Almost surely, 2^200210012000 is an apocalyptic number.

200210012000 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 200210012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246033601632).

200210012000 is an abundant number, since it is smaller than the sum of its proper divisors (291857191264).

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

200210012000 is a wasteful number, since it uses less digits than its factorization.

200210012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15409 (or 15391 counting only the distinct ones).

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

Adding to 200210012000 its reverse (210012002), we get a palindrome (200420024002).

The spelling of 200210012000 in words is "two hundred billion, two hundred ten million, twelve thousand".