12117361000 has 80 divisors (see below), whose sum is σ = 28843497540. Its totient is φ = 4764792800.

The previous prime is 12117360989. The next prime is 12117361007. The reversal of 12117361000 is 16371121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8191336036 + 3926024964 = 90506^2 + 62658^2 .

It is not an unprimeable number, because it can be changed into a prime (12117361007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 205378971 + ... + 205379029.

Almost surely, 2^12117361000 is an apocalyptic number.

12117361000 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 12117361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14421748770).

12117361000 is an abundant number, since it is smaller than the sum of its proper divisors (16726136540).

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

12117361000 is an frugal number, since it uses more digits than its factorization.

12117361000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The spelling of 12117361000 in words is "twelve billion, one hundred seventeen million, three hundred sixty-one thousand".