12789061125120 has 440 divisors, whose sum is σ = 52375742426304. Its totient is φ = 2923213307904.

The previous prime is 12789061125119. The next prime is 12789061125121. The reversal of 12789061125120 is 2152116098721.

12789061125120 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 9 + 0 + 611 + 2 + 5 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12789061125119) and next prime (12789061125121).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12789061125121) 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 39 ways as a sum of consecutive naturals, for example, 700339 + ... + 5105741.

Almost surely, 2^{12789061125120} is an apocalyptic number.

12789061125120 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 12789061125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26187871213152).

12789061125120 is an abundant number, since it is smaller than the sum of its proper divisors (39586681301184).

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

12789061125120 is an equidigital number, since it uses as much as digits as its factorization.

12789061125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4405447 (or 4405420 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 12789061125120 in words is "twelve trillion, seven hundred eighty-nine billion, sixty-one million, one hundred twenty-five thousand, one hundred twenty".