12142016940 has 144 divisors (see below), whose sum is σ = 36466198272. Its totient is φ = 3012920064.

The previous prime is 12142016893. The next prime is 12142016987. The reversal of 12142016940 is 4961024121.

It is an interprime number because it is at equal distance from previous prime (12142016893) and next prime (12142016987).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12142016898 and 12142016907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1886007 + ... + 1892433.

It is an arithmetic number, because the mean of its divisors is an integer number (253237488).

Almost surely, 2^12142016940 is an apocalyptic number.

12142016940 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 12142016940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18233099136).

12142016940 is an abundant number, since it is smaller than the sum of its proper divisors (24324181332).

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

12142016940 is a wasteful number, since it uses less digits than its factorization.

12142016940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6536 (or 6497 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 12142016940 in words is "twelve billion, one hundred forty-two million, sixteen thousand, nine hundred forty".