12042232020 has 576 divisors, whose sum is σ = 47155530240. Its totient is φ = 2419200000.

The previous prime is 12042232019. The next prime is 12042232067. The reversal of 12042232020 is 2023224021.

12042232020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12042231984 and 12042232002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47976895 + ... + 47977145.

It is an arithmetic number, because the mean of its divisors is an integer number (81867240).

Almost surely, 2^12042232020 is an apocalyptic number.

12042232020 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 12042232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23577765120).

12042232020 is an abundant number, since it is smaller than the sum of its proper divisors (35113298220).

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

12042232020 is a wasteful number, since it uses less digits than its factorization.

12042232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 12042232020 its reverse (2023224021), we get a palindrome (14065456041).

The spelling of 12042232020 in words is "twelve billion, forty-two million, two hundred thirty-two thousand, twenty".