12006973440 has 1120 divisors, whose sum is σ = 54807819264. Its totient is φ = 2441871360.

The previous prime is 12006973439. The next prime is 12006973477. The reversal of 12006973440 is 4437960021.

12006973440 is a `hidden beast` number, since 1 + 200 + 6 + 9 + 7 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×12006973440² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12006973395 and 12006973404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 255467497 + ... + 255467543.

Almost surely, 2^12006973440 is an apocalyptic number.

12006973440 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 12006973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27403909632).

12006973440 is an abundant number, since it is smaller than the sum of its proper divisors (42800845824).

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

12006973440 is an equidigital number, since it uses as much as digits as its factorization.

12006973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12006973440 in words is "twelve billion, six million, nine hundred seventy-three thousand, four hundred forty".