12101133340 has 96 divisors (see below), whose sum is σ = 27324864000. Its totient is φ = 4491432960.

The previous prime is 12101133271. The next prime is 12101133349. The reversal of 12101133340 is 4333110121.

It is a super-2 number, since 2×12101133340² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101133349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2676762 + ... + 2681278.

It is an arithmetic number, because the mean of its divisors is an integer number (284634000).

Almost surely, 2^12101133340 is an apocalyptic number.

12101133340 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 12101133340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13662432000).

12101133340 is an abundant number, since it is smaller than the sum of its proper divisors (15223730660).

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

12101133340 is a wasteful number, since it uses less digits than its factorization.

12101133340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4735 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12101133340 its reverse (4333110121), we get a palindrome (16434243461).

The spelling of 12101133340 in words is "twelve billion, one hundred one million, one hundred thirty-three thousand, three hundred forty".