12477494016000 has 2688 divisors, whose sum is σ = 52004189764800. Its totient is φ = 2966873702400.

The previous prime is 12477494015989. The next prime is 12477494016059. The reversal of 12477494016000 is 61049477421.

12477494016000 is a `hidden beast` number, since 12 + 477 + 4 + 9 + 4 + 0 + 160 + 0 + 0 = 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 223 ways as a sum of consecutive naturals, for example, 89766143931 + ... + 89766144069.

Almost surely, 2^{12477494016000} is an apocalyptic number.

12477494016000 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 12477494016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26002094882400).

12477494016000 is an abundant number, since it is smaller than the sum of its proper divisors (39526695748800).

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

12477494016000 is an equidigital number, since it uses as much as digits as its factorization.

12477494016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12477494016000 in words is "twelve trillion, four hundred seventy-seven billion, four hundred ninety-four million, sixteen thousand".