12007457280 has 1280 divisors, whose sum is σ = 55436451840. Its totient is φ = 2394095616.

The previous prime is 12007457263. The next prime is 12007457317. The reversal of 12007457280 is 8275470021.

12007457280 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 7 + 4 + 572 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144668119 + ... + 144668201.

It is an arithmetic number, because the mean of its divisors is an integer number (43309728).

Almost surely, 2^12007457280 is an apocalyptic number.

12007457280 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 12007457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27718225920).

12007457280 is an abundant number, since it is smaller than the sum of its proper divisors (43428994560).

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

12007457280 is a wasteful number, since it uses less digits than its factorization.

12007457280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 12007457280 in words is "twelve billion, seven million, four hundred fifty-seven thousand, two hundred eighty".