12011011020 has 384 divisors, whose sum is σ = 40834886400. Its totient is φ = 2919628800.

The previous prime is 12011011009. The next prime is 12011011021. The reversal of 12011011020 is 2011011021.

It is a happy number.

It is a super-2 number, since 2×12011011020² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12011010993 and 12011011011.

It is not an unprimeable number, because it can be changed into a prime (12011011021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49838100 + ... + 49838340.

It is an arithmetic number, because the mean of its divisors is an integer number (106340850).

Almost surely, 2^12011011020 is an apocalyptic number.

12011011020 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 12011011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20417443200).

12011011020 is an abundant number, since it is smaller than the sum of its proper divisors (28823875380).

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

12011011020 is a wasteful number, since it uses less digits than its factorization.

12011011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12011011020 its reverse (2011011021), we get a palindrome (14022022041).

Subtracting from 12011011020 its reverse (2011011021), we obtain a palindrome (9999999999).

The spelling of 12011011020 in words is "twelve billion, eleven million, eleven thousand, twenty".