200220212011120 has 160 divisors (see below), whose sum is σ = 534328200806400. Its totient is φ = 68348319836160.

The previous prime is 200220212011103. The next prime is 200220212011129. The reversal of 200220212011120 is 21110212022002.

It is a happy number.

It is a super-3 number, since 3×200220212011120³ (a number of 44 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 200220212011094 and 200220212011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200220212011129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3013924305 + ... + 3013990735.

It is an arithmetic number, because the mean of its divisors is an integer number (3339551255040).

Almost surely, 2^{200220212011120} is an apocalyptic number.

200220212011120 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 200220212011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267164100403200).

200220212011120 is an abundant number, since it is smaller than the sum of its proper divisors (334107988795280).

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

200220212011120 is a wasteful number, since it uses less digits than its factorization.

200220212011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89783 (or 89777 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 200220212011120 its reverse (21110212022002), we get a palindrome (221330424033122).

The spelling of 200220212011120 in words is "two hundred trillion, two hundred twenty billion, two hundred twelve million, eleven thousand, one hundred twenty".