12532030917120 has 1920 divisors, whose sum is σ = 54127755601920. Its totient is φ = 2636035522560.

The previous prime is 12532030917113. The next prime is 12532030917121. The reversal of 12532030917120 is 2171903023521.

It is a happy number.

12532030917120 is a `hidden beast` number, since 1 + 2 + 5 + 320 + 309 + 1 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12532030917121) 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 191 ways as a sum of consecutive naturals, for example, 4470933639 + ... + 4470936441.

It is an arithmetic number, because the mean of its divisors is an integer number (28191539376).

Almost surely, 2^{12532030917120} is an apocalyptic number.

12532030917120 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 12532030917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27063877800960).

12532030917120 is an abundant number, since it is smaller than the sum of its proper divisors (41595724684800).

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

12532030917120 is a wasteful number, since it uses less digits than its factorization.

12532030917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12532030917120 in words is "twelve trillion, five hundred thirty-two billion, thirty million, nine hundred seventeen thousand, one hundred twenty".