220020222011200 has 378 divisors, whose sum is σ = 618714625568274. Its totient is φ = 76962505052160.

The previous prime is 220020222011179. The next prime is 220020222011287. The reversal of 220020222011200 is 2110222020022.

It can be written as a sum of positive squares in 9 ways, for example, as 134638334597376 + 85381887413824 = 11603376^2 + 9240232^2 .

It is a super-3 number, since 3×220020222011200³ (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 96487414 + ... + 98741386.

Almost surely, 2^{220020222011200} is an apocalyptic number.

220020222011200 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 220020222011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309357312784137).

220020222011200 is an abundant number, since it is smaller than the sum of its proper divisors (398694403557074).

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

220020222011200 is a wasteful number, since it uses less digits than its factorization.

220020222011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254059 (or 2254012 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220020222011200 its reverse (2110222020022), we get a palindrome (222130444031222).

The spelling of 220020222011200 in words is "two hundred twenty trillion, twenty billion, two hundred twenty-two million, eleven thousand, two hundred".