12164244145120 has 96 divisors (see below), whose sum is σ = 29137146135552. Its totient is φ = 4798146834432.

The previous prime is 12164244145103. The next prime is 12164244145127. The reversal of 12164244145120 is 2154144246121.

It is a self number, because there is not a number n which added to its sum of digits gives 12164244145120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12164244145127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 64180414 + ... + 64369666.

It is an arithmetic number, because the mean of its divisors is an integer number (303511938912).

Almost surely, 2^{12164244145120} is an apocalyptic number.

12164244145120 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 12164244145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14568573067776).

12164244145120 is an abundant number, since it is smaller than the sum of its proper divisors (16972901990432).

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

12164244145120 is a wasteful number, since it uses less digits than its factorization.

12164244145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194844 (or 194836 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 12164244145120 in words is "twelve trillion, one hundred sixty-four billion, two hundred forty-four million, one hundred forty-five thousand, one hundred twenty".