12045450240 has 264 divisors, whose sum is σ = 42006208608. Its totient is φ = 3191439360.

The previous prime is 12045450227. The next prime is 12045450253. The reversal of 12045450240 is 4205454021.

12045450240 is a `hidden beast` number, since 1 + 204 + 5 + 450 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12045450227) and next prime (12045450253).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7971085 + ... + 7972595.

Almost surely, 2^12045450240 is an apocalyptic number.

12045450240 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 12045450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003104304).

12045450240 is an abundant number, since it is smaller than the sum of its proper divisors (29960758368).

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

12045450240 is a wasteful number, since it uses less digits than its factorization.

12045450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 12045450240 in words is "twelve billion, forty-five million, four hundred fifty thousand, two hundred forty".