12435730140 has 48 divisors (see below), whose sum is σ = 34964566560. Its totient is φ = 3302430720.

The previous prime is 12435730093. The next prime is 12435730199. The reversal of 12435730140 is 4103753421.

It is a happy number.

It is a super-2 number, since 2×12435730140² (a number of 21 digits) contains 22 as substring.

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 = 12435730098 and 12435730107.

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 15 ways as a sum of consecutive naturals, for example, 415545 + ... + 444464.

It is an arithmetic number, because the mean of its divisors is an integer number (728428470).

Almost surely, 2^12435730140 is an apocalyptic number.

12435730140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12435730140 is an abundant number, since it is smaller than the sum of its proper divisors (22528836420).

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

12435730140 is a wasteful number, since it uses less digits than its factorization.

12435730140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860262 (or 860260 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 12435730140 in words is "twelve billion, four hundred thirty-five million, seven hundred thirty thousand, one hundred forty".