11120010344144 has 240 divisors, whose sum is σ = 24135535695600. Its totient is φ = 4957239066624.

The previous prime is 11120010344117. The next prime is 11120010344167. The reversal of 11120010344144 is 44144301002111.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 9208869990544 + 1911140353600 = 3034612^2 + 1382440^2 .

It is a super-2 number, since 2×11120010344144² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13036354022 + ... + 13036354874.

It is an arithmetic number, because the mean of its divisors is an integer number (100564732065).

Almost surely, 2^{11120010344144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120010344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12067767847800).

11120010344144 is an abundant number, since it is smaller than the sum of its proper divisors (13015525351456).

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

11120010344144 is a wasteful number, since it uses less digits than its factorization.

11120010344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 11120010344144 its reverse (44144301002111), we get a palindrome (55264311346255).

The spelling of 11120010344144 in words is "eleven trillion, one hundred twenty billion, ten million, three hundred forty-four thousand, one hundred forty-four".