220213223010000 has 1200 divisors, whose sum is σ = 865238155761408. Its totient is φ = 51797491200000.

The previous prime is 220213223009987. The next prime is 220213223010029. The reversal of 220213223010000 is 10322312022.

220213223010000 is a `hidden beast` number, since 2 + 20 + 21 + 322 + 301 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13443201810 + ... + 13443218190.

Almost surely, 2^{220213223010000} is an apocalyptic number.

220213223010000 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 220213223010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432619077880704).

220213223010000 is an abundant number, since it is smaller than the sum of its proper divisors (645024932751408).

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

220213223010000 is a wasteful number, since it uses less digits than its factorization.

220213223010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16830 (or 16806 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220213223010000 its reverse (10322312022), we get a palindrome (220223545322022).

The spelling of 220213223010000 in words is "two hundred twenty trillion, two hundred thirteen billion, two hundred twenty-three million, ten thousand".