110211212201200 has 120 divisors (see below), whose sum is σ = 289047057121296. Its totient is φ = 40049958912000.

The previous prime is 110211212201161. The next prime is 110211212201219. The reversal of 110211212201200 is 2102212112011.

It is a super-4 number, since 4×110211212201200⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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, 1819281 + ... + 14957680.

Almost surely, 2^{110211212201200} is an apocalyptic number.

110211212201200 is a gapful number since it is divisible by the number (10) 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 110211212201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144523528560648).

110211212201200 is an abundant number, since it is smaller than the sum of its proper divisors (178835844920096).

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

110211212201200 is a wasteful number, since it uses less digits than its factorization.

110211212201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16778483 (or 16778472 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110211212201200 its reverse (2102212112011), we get a palindrome (112313424313211).

The spelling of 110211212201200 in words is "one hundred ten trillion, two hundred eleven billion, two hundred twelve million, two hundred one thousand, two hundred".