12142247040 has 576 divisors, whose sum is σ = 53221821120. Its totient is φ = 2522419200.

The previous prime is 12142246943. The next prime is 12142247063. The reversal of 12142247040 is 4074224121.

12142247040 is a `hidden beast` number, since 12 + 142 + 2 + 470 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 12142246995 and 12142247013.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3102685 + ... + 3106595.

It is an arithmetic number, because the mean of its divisors is an integer number (92398995).

Almost surely, 2^12142247040 is an apocalyptic number.

12142247040 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 12142247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26610910560).

12142247040 is an abundant number, since it is smaller than the sum of its proper divisors (41079574080).

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

12142247040 is a wasteful number, since it uses less digits than its factorization.

12142247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 12142247040 in words is "twelve billion, one hundred forty-two million, two hundred forty-seven thousand, forty".