11940531120 has 240 divisors, whose sum is σ = 46694636352. Its totient is φ = 2677708800.

The previous prime is 11940531107. The next prime is 11940531139. The reversal of 11940531120 is 2113504911.

It is a happy number.

11940531120 is a `hidden beast` number, since 1 + 1 + 9 + 4 + 0 + 531 + 120 = 666.

11940531120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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, 244770 + ... + 289470.

Almost surely, 2^11940531120 is an apocalyptic number.

11940531120 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 11940531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23347318176).

11940531120 is an abundant number, since it is smaller than the sum of its proper divisors (34754105232).

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

11940531120 is a wasteful number, since it uses less digits than its factorization.

11940531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44780 (or 44771 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

It can be divided in two parts, 119405311 and 20, that added together give a triangular number (119405331 = T₁₅₄₅₃).

The spelling of 11940531120 in words is "eleven billion, nine hundred forty million, five hundred thirty-one thousand, one hundred twenty".