12144121020 has 180 divisors, whose sum is σ = 40470913560. Its totient is φ = 3047818752.

The previous prime is 12144121001. The next prime is 12144121021. The reversal of 12144121020 is 2012144121.

12144121020 is a `hidden beast` number, since 12 + 1 + 441 + 210 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 = 12144120984 and 12144121002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12144121021) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 455211 + ... + 481149.

Almost surely, 2^12144121020 is an apocalyptic number.

12144121020 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 12144121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20235456780).

12144121020 is an abundant number, since it is smaller than the sum of its proper divisors (28326792540).

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

12144121020 is a wasteful number, since it uses less digits than its factorization.

12144121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25994 (or 25966 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12144121020 its reverse (2012144121), we get a palindrome (14156265141).

The spelling of 12144121020 in words is "twelve billion, one hundred forty-four million, one hundred twenty-one thousand, twenty".