12346942140 has 288 divisors, whose sum is σ = 42635174400. Its totient is φ = 2867166720.

The previous prime is 12346942117. The next prime is 12346942147. The reversal of 12346942140 is 4124964321.

12346942140 is a `hidden beast` number, since 12 + 3 + 469 + 42 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12346942095 and 12346942104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12346942147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14715841 + ... + 14716679.

It is an arithmetic number, because the mean of its divisors is an integer number (148038800).

Almost surely, 2^12346942140 is an apocalyptic number.

12346942140 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 12346942140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21317587200).

12346942140 is an abundant number, since it is smaller than the sum of its proper divisors (30288232260).

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

12346942140 is a wasteful number, since it uses less digits than its factorization.

12346942140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12346942140 in words is "twelve billion, three hundred forty-six million, nine hundred forty-two thousand, one hundred forty".