220102012211200 has 312 divisors, whose sum is σ = 623967394350272. Its totient is φ = 75437952860160.

The previous prime is 220102012211197. The next prime is 220102012211281. The reversal of 220102012211200 is 2112210201022.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2176871047 + ... + 2176972153.

Almost surely, 2^{220102012211200} is an apocalyptic number.

220102012211200 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 220102012211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311983697175136).

220102012211200 is an abundant number, since it is smaller than the sum of its proper divisors (403865382139072).

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

220102012211200 is a wasteful number, since it uses less digits than its factorization.

220102012211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104185 (or 104158 counting only the distinct ones).

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

Adding to 220102012211200 its reverse (2112210201022), we get a palindrome (222214222412222).

The spelling of 220102012211200 in words is "two hundred twenty trillion, one hundred two billion, twelve million, two hundred eleven thousand, two hundred".