12167359680 has 448 divisors, whose sum is σ = 47420052480. Its totient is φ = 2579890176.

The previous prime is 12167359667. The next prime is 12167359703. The reversal of 12167359680 is 8695376121.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 8338791 + ... + 8340249.

Almost surely, 2^12167359680 is an apocalyptic number.

12167359680 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 12167359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23710026240).

12167359680 is an abundant number, since it is smaller than the sum of its proper divisors (35252692800).

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

12167359680 is a wasteful number, since it uses less digits than its factorization.

12167359680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 12167359680 in words is "twelve billion, one hundred sixty-seven million, three hundred fifty-nine thousand, six hundred eighty".