12164505600 has 336 divisors, whose sum is σ = 43343913312. Its totient is φ = 2992373760.

The previous prime is 12164505593. The next prime is 12164505611. The reversal of 12164505600 is 650546121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7986439 + ... + 7987961.

It is an arithmetic number, because the mean of its divisors is an integer number (128999742).

Almost surely, 2^12164505600 is an apocalyptic number.

12164505600 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 12164505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21671956656).

12164505600 is an abundant number, since it is smaller than the sum of its proper divisors (31179407712).

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

12164505600 is a wasteful number, since it uses less digits than its factorization.

12164505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 12164505600 in words is "twelve billion, one hundred sixty-four million, five hundred five thousand, six hundred".