12006457040 has 80 divisors (see below), whose sum is σ = 29015642880. Its totient is φ = 4614812160.

The previous prime is 12006457037. The next prime is 12006457087. The reversal of 12006457040 is 4075460021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 12006456994 and 12006457012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477257 + ... + 501783.

It is an arithmetic number, because the mean of its divisors is an integer number (362695536).

Almost surely, 2^12006457040 is an apocalyptic number.

12006457040 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 12006457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507821440).

12006457040 is an abundant number, since it is smaller than the sum of its proper divisors (17009185840).

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

12006457040 is a wasteful number, since it uses less digits than its factorization.

12006457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24780 (or 24774 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 12006457040 in words is "twelve billion, six million, four hundred fifty-seven thousand, forty".