12060518400 has 432 divisors, whose sum is σ = 49376527200. Its totient is φ = 2755952640.

The previous prime is 12060518387. The next prime is 12060518401. The reversal of 12060518400 is 481506021.

12060518400 is a `hidden beast` number, since 1 + 2 + 0 + 605 + 18 + 40 + 0 = 666.

It is a super-2 number, since 2×12060518400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12060518401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3223731 + ... + 3227469.

Almost surely, 2^12060518400 is an apocalyptic number.

12060518400 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 12060518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24688263600).

12060518400 is an abundant number, since it is smaller than the sum of its proper divisors (37316008800).

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

12060518400 is a wasteful number, since it uses less digits than its factorization.

12060518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12060518400 in words is "twelve billion, sixty million, five hundred eighteen thousand, four hundred".