12435242720 has 24 divisors (see below), whose sum is σ = 29378261304. Its totient is φ = 4974097024.

The previous prime is 12435242693. The next prime is 12435242731. The reversal of 12435242720 is 2724253421.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38859974 + ... + 38860293.

It is an arithmetic number, because the mean of its divisors is an integer number (1224094221).

Almost surely, 2^12435242720 is an apocalyptic number.

12435242720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12435242720 is an abundant number, since it is smaller than the sum of its proper divisors (16943018584).

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

12435242720 is an equidigital number, since it uses as much as digits as its factorization.

12435242720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77720282 (or 77720274 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The spelling of 12435242720 in words is "twelve billion, four hundred thirty-five million, two hundred forty-two thousand, seven hundred twenty".