12451308240 has 160 divisors (see below), whose sum is σ = 44369231616. Its totient is φ = 2829496320.

The previous prime is 12451308211. The next prime is 12451308241. The reversal of 12451308240 is 4280315421.

12451308240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 12451308198 and 12451308207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12451308241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269220 + ... + 312060.

Almost surely, 2^12451308240 is an apocalyptic number.

12451308240 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 12451308240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22184615808).

12451308240 is an abundant number, since it is smaller than the sum of its proper divisors (31917923376).

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

12451308240 is a wasteful number, since it uses less digits than its factorization.

12451308240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43037 (or 43031 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 12451308240 in words is "twelve billion, four hundred fifty-one million, three hundred eight thousand, two hundred forty".