200212582200400 has 960 divisors, whose sum is σ = 622654986387456. Its totient is φ = 60064623360000.

The previous prime is 200212582200311. The next prime is 200212582200427. The reversal of 200212582200400 is 4002285212002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25398014859 + ... + 25398022741.

Almost surely, 2^{200212582200400} is an apocalyptic number.

200212582200400 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 200212582200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311327493193728).

200212582200400 is an abundant number, since it is smaller than the sum of its proper divisors (422442404187056).

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

200212582200400 is a wasteful number, since it uses less digits than its factorization.

200212582200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8240 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The spelling of 200212582200400 in words is "two hundred trillion, two hundred twelve billion, five hundred eighty-two million, two hundred thousand, four hundred".