12011102120010 has 128 divisors (see below), whose sum is σ = 33015228825600. Its totient is φ = 2739522839040.

The previous prime is 12011102119927. The next prime is 12011102120011. The reversal of 12011102120010 is 1002120111021.

12011102120010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12011102120011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665094361 + ... + 665112419.

It is an arithmetic number, because the mean of its divisors is an integer number (257931475200).

Almost surely, 2^{12011102120010} is an apocalyptic number.

12011102120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011102120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507614412800).

12011102120010 is an abundant number, since it is smaller than the sum of its proper divisors (21004126705590).

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

12011102120010 is a wasteful number, since it uses less digits than its factorization.

12011102120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24676.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12011102120010 its reverse (1002120111021), we get a palindrome (13013222231031).

The spelling of 12011102120010 in words is "twelve trillion, eleven billion, one hundred two million, one hundred twenty thousand, ten".