12101841000 has 768 divisors, whose sum is σ = 47834841600. Its totient is φ = 2737152000.

The previous prime is 12101840999. The next prime is 12101841007. The reversal of 12101841000 is 14810121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12101841007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66860910 + ... + 66861090.

It is an arithmetic number, because the mean of its divisors is an integer number (62284950).

Almost surely, 2^12101841000 is an apocalyptic number.

12101841000 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 12101841000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23917420800).

12101841000 is an abundant number, since it is smaller than the sum of its proper divisors (35733000600).

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

12101841000 is a wasteful number, since it uses less digits than its factorization.

12101841000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 12101841000 in words is "twelve billion, one hundred one million, eight hundred forty-one thousand".