11120168122200 has 960 divisors, whose sum is σ = 42118268544000. Its totient is φ = 2708597698560.

The previous prime is 11120168122169. The next prime is 11120168122211. The reversal of 11120168122200 is 222186102111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1283635069 + ... + 1283643731.

It is an arithmetic number, because the mean of its divisors is an integer number (43873196400).

Almost surely, 2^{11120168122200} is an apocalyptic number.

11120168122200 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 11120168122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21059134272000).

11120168122200 is an abundant number, since it is smaller than the sum of its proper divisors (30998100421800).

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

11120168122200 is a wasteful number, since it uses less digits than its factorization.

11120168122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8846 (or 8828 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 11120168122200 in words is "eleven trillion, one hundred twenty billion, one hundred sixty-eight million, one hundred twenty-two thousand, two hundred".