12182145300 has 432 divisors, whose sum is σ = 42459209520. Its totient is φ = 2920320000.

The previous prime is 12182145271. The next prime is 12182145323. The reversal of 12182145300 is 354128121.

12182145300 is a `hidden beast` number, since 1 + 218 + 2 + 145 + 300 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 10795625604 + 1386519696 = 103902^2 + 37236^2 .

It is a super-2 number, since 2×12182145300² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 120615250 + ... + 120615350.

Almost surely, 2^12182145300 is an apocalyptic number.

12182145300 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 12182145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21229604760).

12182145300 is an abundant number, since it is smaller than the sum of its proper divisors (30277064220).

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

12182145300 is a wasteful number, since it uses less digits than its factorization.

12182145300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12182145300 in words is "twelve billion, one hundred eighty-two million, one hundred forty-five thousand, three hundred".