12462750720 has 792 divisors, whose sum is σ = 52214613984. Its totient is φ = 2794881024.

The previous prime is 12462750701. The next prime is 12462750733. The reversal of 12462750720 is 2705726421.

It is a happy number.

12462750720 is a `hidden beast` number, since 1 + 2 + 4 + 627 + 5 + 0 + 7 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235146214 + ... + 235146266.

Almost surely, 2^12462750720 is an apocalyptic number.

12462750720 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 12462750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26107306992).

12462750720 is an abundant number, since it is smaller than the sum of its proper divisors (39751863264).

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

12462750720 is an frugal number, since it uses more digits than its factorization.

12462750720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 12462750720 in words is "twelve billion, four hundred sixty-two million, seven hundred fifty thousand, seven hundred twenty".