110213223120000 has 3840 divisors, whose sum is σ = 546623003646720. Its totient is φ = 20563476480000.

The previous prime is 110213223119917. The next prime is 110213223120061. The reversal of 110213223120000 is 21322312011.

110213223120000 is a `hidden beast` number, since 1 + 10 + 21 + 322 + 312 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 26666637934 + ... + 26666642066.

It is an arithmetic number, because the mean of its divisors is an integer number (142349740533).

Almost surely, 2^{110213223120000} is an apocalyptic number.

110213223120000 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 110213223120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273311501823360).

110213223120000 is an abundant number, since it is smaller than the sum of its proper divisors (436409780526720).

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

110213223120000 is a wasteful number, since it uses less digits than its factorization.

110213223120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110213223120000 its reverse (21322312011), we get a palindrome (110234545432011).

The spelling of 110213223120000 in words is "one hundred ten trillion, two hundred thirteen billion, two hundred twenty-three million, one hundred twenty thousand".