110112223122000 has 800 divisors, whose sum is σ = 440002745664768. Its totient is φ = 26317872000000.

The previous prime is 110112223121983. The next prime is 110112223122019. The reversal of 110112223122000 is 221322211011.

110112223122000 is a `hidden beast` number, since 110 + 1 + 1 + 222 + 312 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×110112223122000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 126086850 + ... + 126957150.

Almost surely, 2^{110112223122000} is an apocalyptic number.

110112223122000 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 110112223122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220001372832384).

110112223122000 is an abundant number, since it is smaller than the sum of its proper divisors (329890522542768).

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

110112223122000 is a wasteful number, since it uses less digits than its factorization.

110112223122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870418 (or 870393 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110112223122000 its reverse (221322211011), we get a palindrome (110333545333011).

The spelling of 110112223122000 in words is "one hundred ten trillion, one hundred twelve billion, two hundred twenty-three million, one hundred twenty-two thousand".