11300121040 has 80 divisors (see below), whose sum is σ = 28331342928. Its totient is φ = 4166811648.

The previous prime is 11300121031. The next prime is 11300121073. The reversal of 11300121040 is 4012100311.

It can be written as a sum of positive squares in 8 ways, for example, as 314565696 + 10985555344 = 17736^2 + 104812^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11300121040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822064 + ... + 835696.

Almost surely, 2^11300121040 is an apocalyptic number.

11300121040 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 11300121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14165671464).

11300121040 is an abundant number, since it is smaller than the sum of its proper divisors (17031221888).

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

11300121040 is a wasteful number, since it uses less digits than its factorization.

11300121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14456 (or 14450 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11300121040 its reverse (4012100311), we get a palindrome (15312221351).

The spelling of 11300121040 in words is "eleven billion, three hundred million, one hundred twenty-one thousand, forty".