110022297819252 has 768 divisors, whose sum is σ = 329776332963840. Its totient is φ = 27785717286912.

The previous prime is 110022297819211. The next prime is 110022297819373. The reversal of 110022297819252 is 252918792220011.

It is a junction number, because it is equal to n+sod(n) for n = 110022297819195 and 110022297819204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 177741999399 + ... + 177742000017.

It is an arithmetic number, because the mean of its divisors is an integer number (429396266880).

Almost surely, 2^{110022297819252} is an apocalyptic number.

110022297819252 is a gapful number since it is divisible by the number (12) 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 110022297819252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164888166481920).

110022297819252 is an abundant number, since it is smaller than the sum of its proper divisors (219754035144588).

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

110022297819252 is a wasteful number, since it uses less digits than its factorization.

110022297819252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 110022297819252 in words is "one hundred ten trillion, twenty-two billion, two hundred ninety-seven million, eight hundred nineteen thousand, two hundred fifty-two".