12120142540 has 192 divisors, whose sum is σ = 30148005888. Its totient is φ = 4049740800.

The previous prime is 12120142501. The next prime is 12120142547. The reversal of 12120142540 is 4524102121.

12120142540 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 (22).

It is not an unprimeable number, because it can be changed into a prime (12120142547) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10850062 + ... + 10851178.

It is an arithmetic number, because the mean of its divisors is an integer number (157020864).

Almost surely, 2^12120142540 is an apocalyptic number.

12120142540 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 12120142540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15074002944).

12120142540 is an abundant number, since it is smaller than the sum of its proper divisors (18027863348).

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

12120142540 is a wasteful number, since it uses less digits than its factorization.

12120142540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 12120142540 its reverse (4524102121), we get a palindrome (16644244661).

The spelling of 12120142540 in words is "twelve billion, one hundred twenty million, one hundred forty-two thousand, five hundred forty".