12411533120 has 224 divisors, whose sum is σ = 34871558400. Its totient is φ = 4119183360.

The previous prime is 12411533081. The next prime is 12411533137. The reversal of 12411533120 is 2133511421.

12411533120 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 (224).

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 31 ways as a sum of consecutive naturals, for example, 13683707 + ... + 13684613.

It is an arithmetic number, because the mean of its divisors is an integer number (155676600).

Almost surely, 2^12411533120 is an apocalyptic number.

12411533120 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 12411533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17435779200).

12411533120 is an abundant number, since it is smaller than the sum of its proper divisors (22460025280).

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

12411533120 is a wasteful number, since it uses less digits than its factorization.

12411533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 12411533120 in words is "twelve billion, four hundred eleven million, five hundred thirty-three thousand, one hundred twenty".