12067520400 has 960 divisors, whose sum is σ = 50061795840. Its totient is φ = 2737152000.

The previous prime is 12067520371. The next prime is 12067520401. The reversal of 12067520400 is 402576021.

12067520400 is a `hidden beast` number, since 1 + 206 + 7 + 52 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12067520401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119480350 + ... + 119480450.

It is an arithmetic number, because the mean of its divisors is an integer number (52147704).

Almost surely, 2^12067520400 is an apocalyptic number.

12067520400 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 12067520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25030897920).

12067520400 is an abundant number, since it is smaller than the sum of its proper divisors (37994275440).

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

12067520400 is a wasteful number, since it uses less digits than its factorization.

12067520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 12067520400 in words is "twelve billion, sixty-seven million, five hundred twenty thousand, four hundred".