220110111121200 has 240 divisors, whose sum is σ = 728001625675776. Its totient is φ = 56789274931200.

The previous prime is 220110111121129. The next prime is 220110111121213. The reversal of 220110111121200 is 2121111011022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×220110111121200² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220110111121200.

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, 158263237 + ... + 159647963.

Almost surely, 2^{220110111121200} is an apocalyptic number.

220110111121200 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 220110111121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364000812837888).

220110111121200 is an abundant number, since it is smaller than the sum of its proper divisors (507891514554576).

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

220110111121200 is a wasteful number, since it uses less digits than its factorization.

220110111121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389052 (or 1389041 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 220110111121200 its reverse (2121111011022), we get a palindrome (222231222132222).

The spelling of 220110111121200 in words is "two hundred twenty trillion, one hundred ten billion, one hundred eleven million, one hundred twenty-one thousand, two hundred".