12185709120 has 896 divisors, whose sum is σ = 49772620800. Its totient is φ = 2783379456.

The previous prime is 12185709119. The next prime is 12185709127. The reversal of 12185709120 is 2190758121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12185709127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 136918036 + ... + 136918124.

It is an arithmetic number, because the mean of its divisors is an integer number (55549800).

Almost surely, 2^12185709120 is an apocalyptic number.

12185709120 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 12185709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24886310400).

12185709120 is an abundant number, since it is smaller than the sum of its proper divisors (37586911680).

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

12185709120 is a wasteful number, since it uses less digits than its factorization.

12185709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 12185709120 in words is "twelve billion, one hundred eighty-five million, seven hundred nine thousand, one hundred twenty".