11322121040 has 40 divisors (see below), whose sum is σ = 27872401320. Its totient is φ = 4262445056.

The previous prime is 11322121039. The next prime is 11322121049. The reversal of 11322121040 is 4012122311.

11322121040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2061523216 + 9260597824 = 45404^2 + 96232^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322121049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4161185 + ... + 4163904.

It is an arithmetic number, because the mean of its divisors is an integer number (696810033).

Almost surely, 2^11322121040 is an apocalyptic number.

11322121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11322121040 is an abundant number, since it is smaller than the sum of its proper divisors (16550280280).

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

11322121040 is a wasteful number, since it uses less digits than its factorization.

11322121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325119 (or 8325113 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11322121040 its reverse (4012122311), we get a palindrome (15334243351).

The spelling of 11322121040 in words is "eleven billion, three hundred twenty-two million, one hundred twenty-one thousand, forty".