12167155131264 has 768 divisors, whose sum is σ = 43731675187200. Its totient is φ = 3289471948800.

The previous prime is 12167155131247. The next prime is 12167155131331. The reversal of 12167155131264 is 46213155176121.

12167155131264 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 7 + 1 + 5 + 513 + 126 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6002542219 + ... + 6002544245.

It is an arithmetic number, because the mean of its divisors is an integer number (56942285400).

Almost surely, 2^{12167155131264} is an apocalyptic number.

12167155131264 is a gapful number since it is divisible by the number (14) 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 12167155131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21865837593600).

12167155131264 is an abundant number, since it is smaller than the sum of its proper divisors (31564520055936).

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

12167155131264 is a wasteful number, since it uses less digits than its factorization.

12167155131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3509 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 12167155131264 in words is "twelve trillion, one hundred sixty-seven billion, one hundred fifty-five million, one hundred thirty-one thousand, two hundred sixty-four".