11200122133110 has 96 divisors (see below), whose sum is σ = 29430524279520. Its totient is φ = 2954904090624.

The previous prime is 11200122133103. The next prime is 11200122133133. The reversal of 11200122133110 is 1133122100211.

11200122133110 is a `hidden beast` number, since 1 + 1 + 200 + 122 + 1 + 331 + 10 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25650496 + ... + 26083484.

It is an arithmetic number, because the mean of its divisors is an integer number (306567961245).

Almost surely, 2^{11200122133110} is an apocalyptic number.

11200122133110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200122133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14715262139760).

11200122133110 is an abundant number, since it is smaller than the sum of its proper divisors (18230402146410).

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

11200122133110 is a wasteful number, since it uses less digits than its factorization.

11200122133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436062 (or 436059 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11200122133110 its reverse (1133122100211), we get a palindrome (12333244233321).

The spelling of 11200122133110 in words is "eleven trillion, two hundred billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred ten".