12011321221020 has 288 divisors, whose sum is σ = 41730826475520. Its totient is φ = 2769464839680.

The previous prime is 12011321220883. The next prime is 12011321221037. The reversal of 12011321221020 is 2012212311021.

12011321221020 is a `hidden beast` number, since 120 + 1 + 1 + 321 + 221 + 0 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12011321220984 and 12011321221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2286069 + ... + 5408211.

It is an arithmetic number, because the mean of its divisors is an integer number (144898703040).

Almost surely, 2^{12011321221020} is an apocalyptic number.

12011321221020 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 12011321221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865413237760).

12011321221020 is an abundant number, since it is smaller than the sum of its proper divisors (29719505254500).

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

12011321221020 is a wasteful number, since it uses less digits than its factorization.

12011321221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122265 (or 3122260 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12011321221020 its reverse (2012212311021), we get a palindrome (14023533532041).

The spelling of 12011321221020 in words is "twelve trillion, eleven billion, three hundred twenty-one million, two hundred twenty-one thousand, twenty".