12101034124020 has 192 divisors, whose sum is σ = 34941193814016. Its totient is φ = 3128150430720.

The previous prime is 12101034124009. The next prime is 12101034124027. The reversal of 12101034124020 is 2042143010121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101034124027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59418165 + ... + 59621475.

It is an arithmetic number, because the mean of its divisors is an integer number (181985384448).

Almost surely, 2^{12101034124020} is an apocalyptic number.

12101034124020 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 12101034124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17470596907008).

12101034124020 is an abundant number, since it is smaller than the sum of its proper divisors (22840159689996).

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

12101034124020 is a wasteful number, since it uses less digits than its factorization.

12101034124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203630 (or 203628 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12101034124020 its reverse (2042143010121), we get a palindrome (14143177134141).

The spelling of 12101034124020 in words is "twelve trillion, one hundred one billion, thirty-four million, one hundred twenty-four thousand, twenty".