220101233211200 has 336 divisors, whose sum is σ = 592237480089600. Its totient is φ = 79845261465600.

The previous prime is 220101233211193. The next prime is 220101233211253. The reversal of 220101233211200 is 2112332101022.

220101233211200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220101233211200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13253513297 + ... + 13253529903.

Almost surely, 2^{220101233211200} is an apocalyptic number.

220101233211200 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 220101233211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296118740044800).

220101233211200 is an abundant number, since it is smaller than the sum of its proper divisors (372136246878400).

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

220101233211200 is a wasteful number, since it uses less digits than its factorization.

220101233211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18398 (or 18383 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 220101233211200 its reverse (2112332101022), we get a palindrome (222213565312222).

The spelling of 220101233211200 in words is "two hundred twenty trillion, one hundred one billion, two hundred thirty-three million, two hundred eleven thousand, two hundred".