220200122220000 has 480 divisors, whose sum is σ = 778376955742848. Its totient is φ = 54167225088000.

The previous prime is 220200122219963. The next prime is 220200122220019. The reversal of 220200122220000 is 22221002022.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1187847319 + ... + 1188032681.

Almost surely, 2^{220200122220000} is an apocalyptic number.

220200122220000 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 220200122220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389188477871424).

220200122220000 is an abundant number, since it is smaller than the sum of its proper divisors (558176833522848).

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

220200122220000 is a wasteful number, since it uses less digits than its factorization.

220200122220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186932 (or 186909 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 220200122220000 its reverse (22221002022), we get a palindrome (220222343222022).

The spelling of 220200122220000 in words is "two hundred twenty trillion, two hundred billion, one hundred twenty-two million, two hundred twenty thousand".