200220011201200 has 120 divisors (see below), whose sum is σ = 490223500250400. Its totient is φ = 78557845217280.

The previous prime is 200220011201183. The next prime is 200220011201251. The reversal of 200220011201200 is 2102110022002.

It is a happy number.

It is a super-3 number, since 3×200220011201200³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86391141 + ... + 88678459.

It is an arithmetic number, because the mean of its divisors is an integer number (4085195835420).

Almost surely, 2^{200220011201200} is an apocalyptic number.

200220011201200 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 200220011201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245111750125200).

200220011201200 is an abundant number, since it is smaller than the sum of its proper divisors (290003489049200).

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

200220011201200 is a wasteful number, since it uses less digits than its factorization.

200220011201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291519 (or 2291508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200220011201200 its reverse (2102110022002), we get a palindrome (202322121223202).

The spelling of 200220011201200 in words is "two hundred trillion, two hundred twenty billion, eleven million, two hundred one thousand, two hundred".