11200240123314 has 128 divisors (see below), whose sum is σ = 26800283566080. Its totient is φ = 3085557753600.

The previous prime is 11200240123291. The next prime is 11200240123363. The reversal of 11200240123314 is 41332104200211.

It is a super-3 number, since 3×11200240123314³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 355534 + ... + 4746249.

It is an arithmetic number, because the mean of its divisors is an integer number (209377215360).

Almost surely, 2^{11200240123314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200240123314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13400141783040).

11200240123314 is an abundant number, since it is smaller than the sum of its proper divisors (15600043442766).

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

11200240123314 is a wasteful number, since it uses less digits than its factorization.

11200240123314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101896.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11200240123314 its reverse (41332104200211), we get a palindrome (52532344323525).

The spelling of 11200240123314 in words is "eleven trillion, two hundred billion, two hundred forty million, one hundred twenty-three thousand, three hundred fourteen".