12067315142400 has 5184 divisors, whose sum is σ = 58834234368000. Its totient is φ = 2341011456000.

The previous prime is 12067315142359. The next prime is 12067315142413. The reversal of 12067315142400 is 424151376021.

12067315142400 is a `hidden beast` number, since 1 + 2 + 0 + 67 + 3 + 151 + 42 + 400 = 666.

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

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 575 ways as a sum of consecutive naturals, for example, 197824838370 + ... + 197824838430.

Almost surely, 2^{12067315142400} is an apocalyptic number.

12067315142400 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 12067315142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29417117184000).

12067315142400 is an abundant number, since it is smaller than the sum of its proper divisors (46766919225600).

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

12067315142400 is a wasteful number, since it uses less digits than its factorization.

12067315142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12067315142400 in words is "twelve trillion, sixty-seven billion, three hundred fifteen million, one hundred forty-two thousand, four hundred".