12167540000000 has 576 divisors, whose sum is σ = 37855421839872. Its totient is φ = 3792000000000.

The previous prime is 12167539999999. The next prime is 12167540000017. The reversal of 12167540000000 is 4576121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1539996050 + ... + 1540003950.

It is an arithmetic number, because the mean of its divisors is an integer number (65721218472).

Almost surely, 2^{12167540000000} is an apocalyptic number.

12167540000000 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 12167540000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18927710919936).

12167540000000 is an abundant number, since it is smaller than the sum of its proper divisors (25687881839872).

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

12167540000000 is an frugal number, since it uses more digits than its factorization.

12167540000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7970 (or 7926 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

Adding to 12167540000000 its reverse (4576121), we get a palindrome (12167544576121).

The spelling of 12167540000000 in words is "twelve trillion, one hundred sixty-seven billion, five hundred forty million", and thus it is an aban number.