110211212111200 has 144 divisors (see below), whose sum is σ = 269453229889536. Its totient is φ = 44018960960000.

The previous prime is 110211212111179. The next prime is 110211212111243. The reversal of 110211212111200 is 2111212112011.

It is a super-4 number, since 4×110211212111200⁴ (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, 2244465849 + ... + 2244514951.

It is an arithmetic number, because the mean of its divisors is an integer number (1871202985344).

Almost surely, 2^{110211212111200} is an apocalyptic number.

110211212111200 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 110211212111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134726614944768).

110211212111200 is an abundant number, since it is smaller than the sum of its proper divisors (159242017778336).

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

110211212111200 is a wasteful number, since it uses less digits than its factorization.

110211212111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53237 (or 53224 counting only the distinct ones).

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

Adding to 110211212111200 its reverse (2111212112011), we get a palindrome (112322424223211).

The spelling of 110211212111200 in words is "one hundred ten trillion, two hundred eleven billion, two hundred twelve million, one hundred eleven thousand, two hundred".