110122212000 has 384 divisors, whose sum is σ = 372687194880. Its totient is φ = 28404633600.

The previous prime is 110122211977. The next prime is 110122212001. The reversal of 110122212000 is 212221011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110122212001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87467371 + ... + 87468629.

It is an arithmetic number, because the mean of its divisors is an integer number (970539570).

Almost surely, 2^110122212000 is an apocalyptic number.

110122212000 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 110122212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186343597440).

110122212000 is an abundant number, since it is smaller than the sum of its proper divisors (262564982880).

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

110122212000 is a wasteful number, since it uses less digits than its factorization.

110122212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110122212000 its reverse (212221011), we get a palindrome (110334433011).

The spelling of 110122212000 in words is "one hundred ten billion, one hundred twenty-two million, two hundred twelve thousand".