12406081428720 has 1440 divisors, whose sum is σ = 53152973991936. Its totient is φ = 2677009305600.

The previous prime is 12406081428673. The next prime is 12406081428737. The reversal of 12406081428720 is 2782418060421.

12406081428720 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 608 + 14 + 2 + 8 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1210698637 + ... + 1210708883.

Almost surely, 2^{12406081428720} is an apocalyptic number.

12406081428720 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 12406081428720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26576486995968).

12406081428720 is an abundant number, since it is smaller than the sum of its proper divisors (40746892563216).

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

12406081428720 is a wasteful number, since it uses less digits than its factorization.

12406081428720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10361 (or 10336 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 12406081428720 in words is "twelve trillion, four hundred six billion, eighty-one million, four hundred twenty-eight thousand, seven hundred twenty".