110022212122200 has 1728 divisors, whose sum is σ = 446476852224000. Its totient is φ = 24190538803200.

The previous prime is 110022212122181. The next prime is 110022212122211. The reversal of 110022212122200 is 2221212220011.

It is a happy number.

110022212122200 is a `hidden beast` number, since 1 + 10 + 0 + 2 + 221 + 212 + 220 + 0 = 666.

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 431 ways as a sum of consecutive naturals, for example, 124038570157 + ... + 124038571043.

It is an arithmetic number, because the mean of its divisors is an integer number (258377808000).

Almost surely, 2^{110022212122200} is an apocalyptic number.

110022212122200 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 110022212122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223238426112000).

110022212122200 is an abundant number, since it is smaller than the sum of its proper divisors (336454640101800).

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

110022212122200 is a wasteful number, since it uses less digits than its factorization.

110022212122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110022212122200 its reverse (2221212220011), we get a palindrome (112243424342211).

The spelling of 110022212122200 in words is "one hundred ten trillion, twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, two hundred".