12167110767552 has 112 divisors (see below), whose sum is σ = 34677057290400. Its totient is φ = 3742798675968.

The previous prime is 12167110767551. The next prime is 12167110767577. The reversal of 12167110767552 is 25576701176121.

It is a junction number, because it is equal to n+sod(n) for n = 12167110767495 and 12167110767504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12167110767551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9504348 + ... + 10708260.

It is an arithmetic number, because the mean of its divisors is an integer number (309616582950).

Almost surely, 2^{12167110767552} is an apocalyptic number.

12167110767552 is a gapful number since it is divisible by the number (12) 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 12167110767552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338528645200).

12167110767552 is an abundant number, since it is smaller than the sum of its proper divisors (22509946522848).

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

12167110767552 is a wasteful number, since it uses less digits than its factorization.

12167110767552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207990 (or 1207980 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 51.

The spelling of 12167110767552 in words is "twelve trillion, one hundred sixty-seven billion, one hundred ten million, seven hundred sixty-seven thousand, five hundred fifty-two".