12010211120 has 80 divisors (see below), whose sum is σ = 28488727200. Its totient is φ = 4707735552.

The previous prime is 12010211117. The next prime is 12010211149. The reversal of 12010211120 is 2111201021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12010211120² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 910331 + ... + 923429.

It is an arithmetic number, because the mean of its divisors is an integer number (356109090).

Almost surely, 2^12010211120 is an apocalyptic number.

12010211120 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 12010211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14244363600).

12010211120 is an abundant number, since it is smaller than the sum of its proper divisors (16478516080).

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

12010211120 is a wasteful number, since it uses less digits than its factorization.

12010211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13342 (or 13336 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12010211120 its reverse (2111201021), we get a palindrome (14121412141).

The spelling of 12010211120 in words is "twelve billion, ten million, two hundred eleven thousand, one hundred twenty".